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Finding the Fourth Proportional to 6,254.71, 9,377.62 and 3,132.47

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Solution

The fourth proportional to 6,254.71, 9,377.62 and 3,132.47 is: 4,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.71 : 9,377.62 = 3,132.47 : x
  2. Step 2: Convert to fraction form
    6,254.71/9,377.62 = 3,132.47/x
  3. Step 3: Cross multiply
    6,254.71x = 9,377.62 × 3,132.47
  4. Step 4: Simplify right side
    6,254.71x = 29,375,128.93
  5. Step 5: Solve for x
    x = 29,375,128.93/6,254.71
  6. Step 6: Final answer
    x = 4,696.48

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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.