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Finding the Fourth Proportional to 12,097.08, 16,694.06 and 6,791.96

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Solution

The fourth proportional to 12,097.08, 16,694.06 and 6,791.96 is: 9,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.08 : 16,694.06 = 6,791.96 : x
  2. Step 2: Convert to fraction form
    12,097.08/16,694.06 = 6,791.96/x
  3. Step 3: Cross multiply
    12,097.08x = 16,694.06 × 6,791.96
  4. Step 4: Simplify right side
    12,097.08x = 113,385,387.76
  5. Step 5: Solve for x
    x = 113,385,387.76/12,097.08
  6. Step 6: Final answer
    x = 9,372.96

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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.