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Finding the Fourth Proportional to 9,209.59, 12,710.90 and 5,432.53

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Solution

The fourth proportional to 9,209.59, 12,710.90 and 5,432.53 is: 7,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.59 : 12,710.90 = 5,432.53 : x
  2. Step 2: Convert to fraction form
    9,209.59/12,710.90 = 5,432.53/x
  3. Step 3: Cross multiply
    9,209.59x = 12,710.90 × 5,432.53
  4. Step 4: Simplify right side
    9,209.59x = 69,052,318.41
  5. Step 5: Solve for x
    x = 69,052,318.41/9,209.59
  6. Step 6: Final answer
    x = 7,497.87

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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.