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Finding the Fourth Proportional to 6,379.97, 9,545.91 and 5,732.51

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Solution

The fourth proportional to 6,379.97, 9,545.91 and 5,732.51 is: 8,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.97 : 9,545.91 = 5,732.51 : x
  2. Step 2: Convert to fraction form
    6,379.97/9,545.91 = 5,732.51/x
  3. Step 3: Cross multiply
    6,379.97x = 9,545.91 × 5,732.51
  4. Step 4: Simplify right side
    6,379.97x = 54,721,991.10
  5. Step 5: Solve for x
    x = 54,721,991.10/6,379.97
  6. Step 6: Final answer
    x = 8,577.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.