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Finding the Fourth Proportional to 7,146.72, 9,866.43 and 6,398.91

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Solution

The fourth proportional to 7,146.72, 9,866.43 and 6,398.91 is: 8,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.72 : 9,866.43 = 6,398.91 : x
  2. Step 2: Convert to fraction form
    7,146.72/9,866.43 = 6,398.91/x
  3. Step 3: Cross multiply
    7,146.72x = 9,866.43 × 6,398.91
  4. Step 4: Simplify right side
    7,146.72x = 63,134,397.59
  5. Step 5: Solve for x
    x = 63,134,397.59/7,146.72
  6. Step 6: Final answer
    x = 8,834.04

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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.