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Finding the Fourth Proportional to 6,346.53, 8,761.50 and 3,957.26

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Solution

The fourth proportional to 6,346.53, 8,761.50 and 3,957.26 is: 5,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.53 : 8,761.50 = 3,957.26 : x
  2. Step 2: Convert to fraction form
    6,346.53/8,761.50 = 3,957.26/x
  3. Step 3: Cross multiply
    6,346.53x = 8,761.50 × 3,957.26
  4. Step 4: Simplify right side
    6,346.53x = 34,671,489.68
  5. Step 5: Solve for x
    x = 34,671,489.68/6,346.53
  6. Step 6: Final answer
    x = 5,463.06

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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.