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Finding the Fourth Proportional to 6,738.92, 9,299.31 and 3,906.08

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Solution

The fourth proportional to 6,738.92, 9,299.31 and 3,906.08 is: 5,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.92 : 9,299.31 = 3,906.08 : x
  2. Step 2: Convert to fraction form
    6,738.92/9,299.31 = 3,906.08/x
  3. Step 3: Cross multiply
    6,738.92x = 9,299.31 × 3,906.08
  4. Step 4: Simplify right side
    6,738.92x = 36,323,829.34
  5. Step 5: Solve for x
    x = 36,323,829.34/6,738.92
  6. Step 6: Final answer
    x = 5,390.15

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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.