Final answer:
To solve the proportion, cross multiply and solve for the unknown variable m. The value of m is approximately 38.44.
Step-by-step explanation:
First, set up a proportion:
$18.45/m gal = $3.60/7.5gal
Next, cross multiply to solve for m:
$18.45 x 7.5 = $3.60 x m
Now, solve for m:
m = ($18.45 x 7.5) / $3.60
Using a calculator, you can find that m ≈ 38.44
Therefore, the value of m that solves the proportion is approximately 38.44.