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Finding the Fourth Proportional to 9,709.92, 14,562.18 and 6,149.72

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Solution

The fourth proportional to 9,709.92, 14,562.18 and 6,149.72 is: 9,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.92 : 14,562.18 = 6,149.72 : x
  2. Step 2: Convert to fraction form
    9,709.92/14,562.18 = 6,149.72/x
  3. Step 3: Cross multiply
    9,709.92x = 14,562.18 × 6,149.72
  4. Step 4: Simplify right side
    9,709.92x = 89,553,329.59
  5. Step 5: Solve for x
    x = 89,553,329.59/9,709.92
  6. Step 6: Final answer
    x = 9,222.87

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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.