ausrufen
to exclaim
To call out something loudly and often emotionally so that others can hear it; to make an exclamation.
„Endlich!“, rief er aus, als der Zug im Bahnhof einfuhr.
"Finally!" he exclaimed as the train pulled into the station.

to exclaim / proclaim
Loading your saved state.
to exclaim
To call out something loudly and often emotionally so that others can hear it; to make an exclamation.
„Endlich!“, rief er aus, als der Zug im Bahnhof einfuhr.
"Finally!" he exclaimed as the train pulled into the station.

'Ausrufen' (to exclaim / proclaim) is a separable verb. The prefix 'aus-' goes at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Der Schiedsrichter rief den Sieger laut aus.
The referee loudly proclaimed the winner.
In the meaning 'etwas laut rufen' (to call something out loudly), 'ausrufen' (to exclaim) is often used to introduce direct speech. The reporting clause can come before or after the quotation.
„Ich hab's geschafft!“, rief sie glücklich aus.
"I did it!" she exclaimed happily.
In the sense of 'offiziell verkünden' (to announce officially), 'ausrufen' (to proclaim) is often used with an accusative object that describes a state or a result. Typical examples are: 'den Notstand ausrufen' (to proclaim a state of emergency), 'den Sieger ausrufen' (to announce the winner), 'einen Wettbewerb ausrufen' (to announce a competition), or 'die Republik ausrufen' (to proclaim the republic).
Nach dem Erdbeben rief die Regierung den Notstand aus.
After the earthquake, the government proclaimed a state of emergency.
You can tell from the context whether 'ausrufen' (to exclaim / proclaim) means an emotional exclamation or an official announcement. Personal, emotional statements point to the first meaning, while formal, public announcements point to the second meaning.
„Vorsicht!“, rief er schnell aus.
"Watch out!" he quickly exclaimed.
to explain / declare
'erklären' and 'ausrufen' can both mean that something is officially announced. In this sense, 'erklären' is often formal and can also be used in written or legal situations, for example when someone declares a state of affairs or a decision. 'ausrufen' emphasizes the public announcement more strongly, often in front of many people or in an official situation. It sounds more ceremonial or public. Learners may confuse the words because both can fit an official proclamation. If the decision is the focus, 'erklären' fits. If the public announcement is the focus, 'ausrufen' fits better.

Heute ruft der Verein den Gewinner des Wettbewerbs aus.
Today the club announces the winner of the competition.
Die Stadt hat den Platz nach dem Unfall zur Sperrzone erklärt.
After the accident, the city declared the square a restricted zone.