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Finding the Fourth Proportional to 6,738.97, 9,299.80 and 3,906.90

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Solution

The fourth proportional to 6,738.97, 9,299.80 and 3,906.90 is: 5,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.97 : 9,299.80 = 3,906.90 : x
  2. Step 2: Convert to fraction form
    6,738.97/9,299.80 = 3,906.90/x
  3. Step 3: Cross multiply
    6,738.97x = 9,299.80 × 3,906.90
  4. Step 4: Simplify right side
    6,738.97x = 36,333,388.62
  5. Step 5: Solve for x
    x = 36,333,388.62/6,738.97
  6. Step 6: Final answer
    x = 5,391.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.