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Finding the Fourth Proportional to 6,420.27, 8,862.15 and 3,766.71

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Solution

The fourth proportional to 6,420.27, 8,862.15 and 3,766.71 is: 5,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.27 : 8,862.15 = 3,766.71 : x
  2. Step 2: Convert to fraction form
    6,420.27/8,862.15 = 3,766.71/x
  3. Step 3: Cross multiply
    6,420.27x = 8,862.15 × 3,766.71
  4. Step 4: Simplify right side
    6,420.27x = 33,381,149.03
  5. Step 5: Solve for x
    x = 33,381,149.03/6,420.27
  6. Step 6: Final answer
    x = 5,199.34

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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.