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Finding the Fourth Proportional to 6,433.68, 8,877.96 and 3,781.20

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Solution

The fourth proportional to 6,433.68, 8,877.96 and 3,781.20 is: 5,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.68 : 8,877.96 = 3,781.20 : x
  2. Step 2: Convert to fraction form
    6,433.68/8,877.96 = 3,781.20/x
  3. Step 3: Cross multiply
    6,433.68x = 8,877.96 × 3,781.20
  4. Step 4: Simplify right side
    6,433.68x = 33,569,342.35
  5. Step 5: Solve for x
    x = 33,569,342.35/6,433.68
  6. Step 6: Final answer
    x = 5,217.75

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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.