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Finding the Fourth Proportional to 29,091.92, 43,639.61 and 9,105.14

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Solution

The fourth proportional to 29,091.92, 43,639.61 and 9,105.14 is: 13,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,091.92 : 43,639.61 = 9,105.14 : x
  2. Step 2: Convert to fraction form
    29,091.92/43,639.61 = 9,105.14/x
  3. Step 3: Cross multiply
    29,091.92x = 43,639.61 × 9,105.14
  4. Step 4: Simplify right side
    29,091.92x = 397,344,822.17
  5. Step 5: Solve for x
    x = 397,344,822.17/29,091.92
  6. Step 6: Final answer
    x = 13,658.26

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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.