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Finding the Fourth Proportional to 9,338.28, 12,892.10 and 6,198.76

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Solution

The fourth proportional to 9,338.28, 12,892.10 and 6,198.76 is: 8,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.28 : 12,892.10 = 6,198.76 : x
  2. Step 2: Convert to fraction form
    9,338.28/12,892.10 = 6,198.76/x
  3. Step 3: Cross multiply
    9,338.28x = 12,892.10 × 6,198.76
  4. Step 4: Simplify right side
    9,338.28x = 79,915,033.80
  5. Step 5: Solve for x
    x = 79,915,033.80/9,338.28
  6. Step 6: Final answer
    x = 8,557.79

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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.