Let's solve the expression step by step:

$4(25) + 9$

First, calculate $4 \times 25$:

$4 \times 25 = 100$

Now, add 9:

$100 + 9 = 109$

So, the final result is:

$\boxed{109}$

Would you like further details or have any questions?

Here are 5 related questions for further exploration:

1. What is $4(30) + 15$?
2. How do you solve $3(40) + 7$?
3. Can you find $5(20) + 12$?
4. How does the distributive property apply in the expression $4(25) + 9$?
5. What is $4(25) - 9$?

Tip: Always perform multiplication before addition or subtraction according to the order of operations.