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Finding the Fourth Proportional to 6,832.71, 9,429.15 and 3,999.57

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Solution

The fourth proportional to 6,832.71, 9,429.15 and 3,999.57 is: 5,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.71 : 9,429.15 = 3,999.57 : x
  2. Step 2: Convert to fraction form
    6,832.71/9,429.15 = 3,999.57/x
  3. Step 3: Cross multiply
    6,832.71x = 9,429.15 × 3,999.57
  4. Step 4: Simplify right side
    6,832.71x = 37,712,545.47
  5. Step 5: Solve for x
    x = 37,712,545.47/6,832.71
  6. Step 6: Final answer
    x = 5,519.41

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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.