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Finding the Fourth Proportional to 6,273.12, 9,414.14 and 2,578.71

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Solution

The fourth proportional to 6,273.12, 9,414.14 and 2,578.71 is: 3,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.12 : 9,414.14 = 2,578.71 : x
  2. Step 2: Convert to fraction form
    6,273.12/9,414.14 = 2,578.71/x
  3. Step 3: Cross multiply
    6,273.12x = 9,414.14 × 2,578.71
  4. Step 4: Simplify right side
    6,273.12x = 24,276,336.96
  5. Step 5: Solve for x
    x = 24,276,336.96/6,273.12
  6. Step 6: Final answer
    x = 3,869.90

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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.