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Finding the Fourth Proportional to 6,736.92, 9,295.07 and 4,082.55

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Solution

The fourth proportional to 6,736.92, 9,295.07 and 4,082.55 is: 5,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.92 : 9,295.07 = 4,082.55 : x
  2. Step 2: Convert to fraction form
    6,736.92/9,295.07 = 4,082.55/x
  3. Step 3: Cross multiply
    6,736.92x = 9,295.07 × 4,082.55
  4. Step 4: Simplify right side
    6,736.92x = 37,947,567.62
  5. Step 5: Solve for x
    x = 37,947,567.62/6,736.92
  6. Step 6: Final answer
    x = 5,632.78

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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.