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Finding the Fourth Proportional to 9,657.92, 14,511.14 and 6,149.49

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Solution

The fourth proportional to 9,657.92, 14,511.14 and 6,149.49 is: 9,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.92 : 14,511.14 = 6,149.49 : x
  2. Step 2: Convert to fraction form
    9,657.92/14,511.14 = 6,149.49/x
  3. Step 3: Cross multiply
    9,657.92x = 14,511.14 × 6,149.49
  4. Step 4: Simplify right side
    9,657.92x = 89,236,079.57
  5. Step 5: Solve for x
    x = 89,236,079.57/9,657.92
  6. Step 6: Final answer
    x = 9,239.68

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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.