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Finding the Fourth Proportional to 6,265.26, 8,646.42 and 3,432.64

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Solution

The fourth proportional to 6,265.26, 8,646.42 and 3,432.64 is: 4,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.26 : 8,646.42 = 3,432.64 : x
  2. Step 2: Convert to fraction form
    6,265.26/8,646.42 = 3,432.64/x
  3. Step 3: Cross multiply
    6,265.26x = 8,646.42 × 3,432.64
  4. Step 4: Simplify right side
    6,265.26x = 29,679,996.45
  5. Step 5: Solve for x
    x = 29,679,996.45/6,265.26
  6. Step 6: Final answer
    x = 4,737.24

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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.