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Finding the Fourth Proportional to 9,609.92, 14,407.70 and 6,481.14

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Solution

The fourth proportional to 9,609.92, 14,407.70 and 6,481.14 is: 9,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.92 : 14,407.70 = 6,481.14 : x
  2. Step 2: Convert to fraction form
    9,609.92/14,407.70 = 6,481.14/x
  3. Step 3: Cross multiply
    9,609.92x = 14,407.70 × 6,481.14
  4. Step 4: Simplify right side
    9,609.92x = 93,378,293.09
  5. Step 5: Solve for x
    x = 93,378,293.09/9,609.92
  6. Step 6: Final answer
    x = 9,716.87

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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.