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Finding the Fourth Proportional to 9,597.60, 13,249.20 and 7,080.24

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Solution

The fourth proportional to 9,597.60, 13,249.20 and 7,080.24 is: 9,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.60 : 13,249.20 = 7,080.24 : x
  2. Step 2: Convert to fraction form
    9,597.60/13,249.20 = 7,080.24/x
  3. Step 3: Cross multiply
    9,597.60x = 13,249.20 × 7,080.24
  4. Step 4: Simplify right side
    9,597.60x = 93,807,515.81
  5. Step 5: Solve for x
    x = 93,807,515.81/9,597.60
  6. Step 6: Final answer
    x = 9,774.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.