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Finding the Fourth Proportional to 12,097.20, 16,694.16 and 6,792

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Solution

The fourth proportional to 12,097.20, 16,694.16 and 6,792 is: 9,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.20 : 16,694.16 = 6,792 : x
  2. Step 2: Convert to fraction form
    12,097.20/16,694.16 = 6,792/x
  3. Step 3: Cross multiply
    12,097.20x = 16,694.16 × 6,792
  4. Step 4: Simplify right side
    12,097.20x = 113,386,734.72
  5. Step 5: Solve for x
    x = 113,386,734.72/12,097.20
  6. Step 6: Final answer
    x = 9,372.97

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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.