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Finding the Fourth Proportional to 9,589.80, 13,232.70 and 5,397.24

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Solution

The fourth proportional to 9,589.80, 13,232.70 and 5,397.24 is: 7,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.80 : 13,232.70 = 5,397.24 : x
  2. Step 2: Convert to fraction form
    9,589.80/13,232.70 = 5,397.24/x
  3. Step 3: Cross multiply
    9,589.80x = 13,232.70 × 5,397.24
  4. Step 4: Simplify right side
    9,589.80x = 71,420,057.75
  5. Step 5: Solve for x
    x = 71,420,057.75/9,589.80
  6. Step 6: Final answer
    x = 7,447.50

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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.