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Finding the Fourth Proportional to 12,397.83, 17,109 and 6,732.55

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Solution

The fourth proportional to 12,397.83, 17,109 and 6,732.55 is: 9,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.83 : 17,109 = 6,732.55 : x
  2. Step 2: Convert to fraction form
    12,397.83/17,109 = 6,732.55/x
  3. Step 3: Cross multiply
    12,397.83x = 17,109 × 6,732.55
  4. Step 4: Simplify right side
    12,397.83x = 115,187,197.95
  5. Step 5: Solve for x
    x = 115,187,197.95/12,397.83
  6. Step 6: Final answer
    x = 9,290.92

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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.