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Finding the Fourth Proportional to 6,286.17, 9,432.33 and 4,449.09

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Solution

The fourth proportional to 6,286.17, 9,432.33 and 4,449.09 is: 6,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.17 : 9,432.33 = 4,449.09 : x
  2. Step 2: Convert to fraction form
    6,286.17/9,432.33 = 4,449.09/x
  3. Step 3: Cross multiply
    6,286.17x = 9,432.33 × 4,449.09
  4. Step 4: Simplify right side
    6,286.17x = 41,965,285.08
  5. Step 5: Solve for x
    x = 41,965,285.08/6,286.17
  6. Step 6: Final answer
    x = 6,675.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.