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Finding the Fourth Proportional to 6,324.60, 9,474.58 and 3,853.29

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Solution

The fourth proportional to 6,324.60, 9,474.58 and 3,853.29 is: 5,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.60 : 9,474.58 = 3,853.29 : x
  2. Step 2: Convert to fraction form
    6,324.60/9,474.58 = 3,853.29/x
  3. Step 3: Cross multiply
    6,324.60x = 9,474.58 × 3,853.29
  4. Step 4: Simplify right side
    6,324.60x = 36,508,304.37
  5. Step 5: Solve for x
    x = 36,508,304.37/6,324.60
  6. Step 6: Final answer
    x = 5,772.43

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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.