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Finding the Fourth Proportional to 9,542.64, 14,311.17 and 3,697.86

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Solution

The fourth proportional to 9,542.64, 14,311.17 and 3,697.86 is: 5,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.64 : 14,311.17 = 3,697.86 : x
  2. Step 2: Convert to fraction form
    9,542.64/14,311.17 = 3,697.86/x
  3. Step 3: Cross multiply
    9,542.64x = 14,311.17 × 3,697.86
  4. Step 4: Simplify right side
    9,542.64x = 52,920,703.10
  5. Step 5: Solve for x
    x = 52,920,703.10/9,542.64
  6. Step 6: Final answer
    x = 5,545.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.