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Finding the Fourth Proportional to 6,414.27, 8,853.87 and 3,760.71

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Solution

The fourth proportional to 6,414.27, 8,853.87 and 3,760.71 is: 5,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.27 : 8,853.87 = 3,760.71 : x
  2. Step 2: Convert to fraction form
    6,414.27/8,853.87 = 3,760.71/x
  3. Step 3: Cross multiply
    6,414.27x = 8,853.87 × 3,760.71
  4. Step 4: Simplify right side
    6,414.27x = 33,296,837.45
  5. Step 5: Solve for x
    x = 33,296,837.45/6,414.27
  6. Step 6: Final answer
    x = 5,191.06

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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.