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Finding the Fourth Proportional to 6,414.71, 9,614.77 and 2,714.63

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Solution

The fourth proportional to 6,414.71, 9,614.77 and 2,714.63 is: 4,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.71 : 9,614.77 = 2,714.63 : x
  2. Step 2: Convert to fraction form
    6,414.71/9,614.77 = 2,714.63/x
  3. Step 3: Cross multiply
    6,414.71x = 9,614.77 × 2,714.63
  4. Step 4: Simplify right side
    6,414.71x = 26,100,481.44
  5. Step 5: Solve for x
    x = 26,100,481.44/6,414.71
  6. Step 6: Final answer
    x = 4,068.85

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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.