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Finding the Fourth Proportional to 12,097.16, 16,695.54 and 6,793.04

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Solution

The fourth proportional to 12,097.16, 16,695.54 and 6,793.04 is: 9,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.16 : 16,695.54 = 6,793.04 : x
  2. Step 2: Convert to fraction form
    12,097.16/16,695.54 = 6,793.04/x
  3. Step 3: Cross multiply
    12,097.16x = 16,695.54 × 6,793.04
  4. Step 4: Simplify right side
    12,097.16x = 113,413,471.04
  5. Step 5: Solve for x
    x = 113,413,471.04/12,097.16
  6. Step 6: Final answer
    x = 9,375.21

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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.