To determine the value that correctly fills in the blank so that the expressions are equivalent, we can start by evaluating the left side of the equation:
\[ 32 + 72 = 104. \]
Now, we need to evaluate the right side, which consists of the expression \( (4 + 9) \) multiplied by an unknown value. The first step is to calculate:
\[ 4 + 9 = 13. \]
So now we have:
\[ 104 = 13x \]
where \( x \) is the value we need to find.
To find \( x \), we can divide both sides of the equation by 13:
\[ x = \frac{104}{13}. \]
Calculating that gives:
\[ x = 8. \]
Thus, the correct value that fills in the blank is:
8.