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Finding the Fourth Proportional to 9,489.43, 14,234.46 and 3,565.72

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Solution

The fourth proportional to 9,489.43, 14,234.46 and 3,565.72 is: 5,348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.43 : 14,234.46 = 3,565.72 : x
  2. Step 2: Convert to fraction form
    9,489.43/14,234.46 = 3,565.72/x
  3. Step 3: Cross multiply
    9,489.43x = 14,234.46 × 3,565.72
  4. Step 4: Simplify right side
    9,489.43x = 50,756,098.71
  5. Step 5: Solve for x
    x = 50,756,098.71/9,489.43
  6. Step 6: Final answer
    x = 5,348.70

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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.