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Finding the Fourth Proportional to 6,229.28, 9,347.04 and 2,942

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Solution

The fourth proportional to 6,229.28, 9,347.04 and 2,942 is: 4,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.28 : 9,347.04 = 2,942 : x
  2. Step 2: Convert to fraction form
    6,229.28/9,347.04 = 2,942/x
  3. Step 3: Cross multiply
    6,229.28x = 9,347.04 × 2,942
  4. Step 4: Simplify right side
    6,229.28x = 27,498,991.68
  5. Step 5: Solve for x
    x = 27,498,991.68/6,229.28
  6. Step 6: Final answer
    x = 4,414.47

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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.