Final answer:
The solution to the proportion 9 - 5p/p = 7/9 is p = 81 / 52. After cross-multiplication, simplification, and solving for p, remember to check the solution by substituting it back into the original equation.
Step-by-step explanation:
To solve the proportion 9 - 5p/p = 7/9, we will cross-multiply to find the value of 'p'. Cross-multiplying gives us (9 - 5p) * 9 = p * 7. Simplify to get 81 - 45p = 7p and then 81 = 52p by adding 45p to both sides. Finally, divide both sides by 52 to get p = 81 / 52.
To check the answer and see if it is reasonable, substitute p = 81 / 52 back into the original proportion to verify that both sides are equal.