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Finding the Fourth Proportional to 6,734.92, 9,295.08 and 4,082.32

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Solution

The fourth proportional to 6,734.92, 9,295.08 and 4,082.32 is: 5,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.92 : 9,295.08 = 4,082.32 : x
  2. Step 2: Convert to fraction form
    6,734.92/9,295.08 = 4,082.32/x
  3. Step 3: Cross multiply
    6,734.92x = 9,295.08 × 4,082.32
  4. Step 4: Simplify right side
    6,734.92x = 37,945,490.99
  5. Step 5: Solve for x
    x = 37,945,490.99/6,734.92
  6. Step 6: Final answer
    x = 5,634.14

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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.