This is the 4660th most frequent Turkish word.
bulacağı
"Bulacağı" means "that he/she/it will find" in English.
In this sentence, 'bulacağı' refers to something Ali will find in the future.
Ali'nin yarın şehirde yeni bir restoran bulacağı söyleniyor.
It is said that Ali will find a new restaurant in the city tomorrow.
Here, 'bulacağına' indicates one's confidence that someone will find something in the future.
Sınavda doğru cevapları bulacağına inanıyorum.
I believe that you will find the correct answers in the exam.
The word 'bulacağına' represents assurance about the completion of the action 'finding' in the future.