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Finding the Fourth Proportional to 9,467.66, 13,057.68 and 8,330.87

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Solution

The fourth proportional to 9,467.66, 13,057.68 and 8,330.87 is: 11,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.66 : 13,057.68 = 8,330.87 : x
  2. Step 2: Convert to fraction form
    9,467.66/13,057.68 = 8,330.87/x
  3. Step 3: Cross multiply
    9,467.66x = 13,057.68 × 8,330.87
  4. Step 4: Simplify right side
    9,467.66x = 108,781,834.58
  5. Step 5: Solve for x
    x = 108,781,834.58/9,467.66
  6. Step 6: Final answer
    x = 11,489.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.