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Finding the Fourth Proportional to 12,306.73, 16,982.28 and 6,929.66

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Solution

The fourth proportional to 12,306.73, 16,982.28 and 6,929.66 is: 9,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.73 : 16,982.28 = 6,929.66 : x
  2. Step 2: Convert to fraction form
    12,306.73/16,982.28 = 6,929.66/x
  3. Step 3: Cross multiply
    12,306.73x = 16,982.28 × 6,929.66
  4. Step 4: Simplify right side
    12,306.73x = 117,681,391.78
  5. Step 5: Solve for x
    x = 117,681,391.78/12,306.73
  6. Step 6: Final answer
    x = 9,562.36

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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.