Fill in the blank with the correct modal:

This venture ______ go out of business soon if it doesn't work towards increasing its competitiveness in the market.

might

The correct answer is Option (3) → might

The completed sentence would be:

"This venture might go out of business soon if it doesn't work towards increasing its competitiveness in the market."

"Might" indicates a possibility or likelihood of something happening in the future, which fits well with the context of the sentence, expressing uncertainty about the venture's future success.

• should suggests obligation or recommendation, but doesn't convey the uncertainty of the outcome.
• won't indicates a strong possibility of not going out of business, which isn't the intended meaning.
• will suggests certainty of going out of business, which is also not ideal.