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Finding the Fourth Proportional to 6,142.97, 9,211.35 and 2,443.20

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Solution

The fourth proportional to 6,142.97, 9,211.35 and 2,443.20 is: 3,663.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.97 : 9,211.35 = 2,443.20 : x
  2. Step 2: Convert to fraction form
    6,142.97/9,211.35 = 2,443.20/x
  3. Step 3: Cross multiply
    6,142.97x = 9,211.35 × 2,443.20
  4. Step 4: Simplify right side
    6,142.97x = 22,505,144.94
  5. Step 5: Solve for x
    x = 22,505,144.94/6,142.97
  6. Step 6: Final answer
    x = 3,663.56

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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.