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Finding the Fourth Proportional to 6,299.82, 8,694.18 and 4,171.68

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Solution

The fourth proportional to 6,299.82, 8,694.18 and 4,171.68 is: 5,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.82 : 8,694.18 = 4,171.68 : x
  2. Step 2: Convert to fraction form
    6,299.82/8,694.18 = 4,171.68/x
  3. Step 3: Cross multiply
    6,299.82x = 8,694.18 × 4,171.68
  4. Step 4: Simplify right side
    6,299.82x = 36,269,336.82
  5. Step 5: Solve for x
    x = 36,269,336.82/6,299.82
  6. Step 6: Final answer
    x = 5,757.20

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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.