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Finding the Fourth Proportional to 6,431.87, 8,877.85 and 3,743.71

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Solution

The fourth proportional to 6,431.87, 8,877.85 and 3,743.71 is: 5,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.87 : 8,877.85 = 3,743.71 : x
  2. Step 2: Convert to fraction form
    6,431.87/8,877.85 = 3,743.71/x
  3. Step 3: Cross multiply
    6,431.87x = 8,877.85 × 3,743.71
  4. Step 4: Simplify right side
    6,431.87x = 33,236,064.27
  5. Step 5: Solve for x
    x = 33,236,064.27/6,431.87
  6. Step 6: Final answer
    x = 5,167.40

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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.