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Finding the Fourth Proportional to 6,123.40, 9,175.20 and 5,540.20

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Solution

The fourth proportional to 6,123.40, 9,175.20 and 5,540.20 is: 8,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.40 : 9,175.20 = 5,540.20 : x
  2. Step 2: Convert to fraction form
    6,123.40/9,175.20 = 5,540.20/x
  3. Step 3: Cross multiply
    6,123.40x = 9,175.20 × 5,540.20
  4. Step 4: Simplify right side
    6,123.40x = 50,832,443.04
  5. Step 5: Solve for x
    x = 50,832,443.04/6,123.40
  6. Step 6: Final answer
    x = 8,301.34

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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.