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Finding the Fourth Proportional to 6,640.56, 9,962.82 and 2,942.28

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Solution

The fourth proportional to 6,640.56, 9,962.82 and 2,942.28 is: 4,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.56 : 9,962.82 = 2,942.28 : x
  2. Step 2: Convert to fraction form
    6,640.56/9,962.82 = 2,942.28/x
  3. Step 3: Cross multiply
    6,640.56x = 9,962.82 × 2,942.28
  4. Step 4: Simplify right side
    6,640.56x = 29,313,406.03
  5. Step 5: Solve for x
    x = 29,313,406.03/6,640.56
  6. Step 6: Final answer
    x = 4,414.30

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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.