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Finding the Fourth Proportional to 6,143.92, 9,215.78 and 1,761.28

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Solution

The fourth proportional to 6,143.92, 9,215.78 and 1,761.28 is: 2,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.92 : 9,215.78 = 1,761.28 : x
  2. Step 2: Convert to fraction form
    6,143.92/9,215.78 = 1,761.28/x
  3. Step 3: Cross multiply
    6,143.92x = 9,215.78 × 1,761.28
  4. Step 4: Simplify right side
    6,143.92x = 16,231,537.15
  5. Step 5: Solve for x
    x = 16,231,537.15/6,143.92
  6. Step 6: Final answer
    x = 2,641.89

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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.