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Finding the Fourth Proportional to 6,432.85, 8,877.96 and 4,641.80

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Solution

The fourth proportional to 6,432.85, 8,877.96 and 4,641.80 is: 6,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.85 : 8,877.96 = 4,641.80 : x
  2. Step 2: Convert to fraction form
    6,432.85/8,877.96 = 4,641.80/x
  3. Step 3: Cross multiply
    6,432.85x = 8,877.96 × 4,641.80
  4. Step 4: Simplify right side
    6,432.85x = 41,209,691.52
  5. Step 5: Solve for x
    x = 41,209,691.52/6,432.85
  6. Step 6: Final answer
    x = 6,406.14

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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.