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Finding the Fourth Proportional to 6,937.43, 9,542.54 and 6,082.45

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Solution

The fourth proportional to 6,937.43, 9,542.54 and 6,082.45 is: 8,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.43 : 9,542.54 = 6,082.45 : x
  2. Step 2: Convert to fraction form
    6,937.43/9,542.54 = 6,082.45/x
  3. Step 3: Cross multiply
    6,937.43x = 9,542.54 × 6,082.45
  4. Step 4: Simplify right side
    6,937.43x = 58,042,013.77
  5. Step 5: Solve for x
    x = 58,042,013.77/6,937.43
  6. Step 6: Final answer
    x = 8,366.51

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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.