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Finding the Fourth Proportional to 6,942.78, 10,414.26 and 3,244.50

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Solution

The fourth proportional to 6,942.78, 10,414.26 and 3,244.50 is: 4,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.78 : 10,414.26 = 3,244.50 : x
  2. Step 2: Convert to fraction form
    6,942.78/10,414.26 = 3,244.50/x
  3. Step 3: Cross multiply
    6,942.78x = 10,414.26 × 3,244.50
  4. Step 4: Simplify right side
    6,942.78x = 33,789,066.57
  5. Step 5: Solve for x
    x = 33,789,066.57/6,942.78
  6. Step 6: Final answer
    x = 4,866.79

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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.