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Finding the Fourth Proportional to 9,092.70, 12,542.81 and 5,729.73

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Solution

The fourth proportional to 9,092.70, 12,542.81 and 5,729.73 is: 7,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.70 : 12,542.81 = 5,729.73 : x
  2. Step 2: Convert to fraction form
    9,092.70/12,542.81 = 5,729.73/x
  3. Step 3: Cross multiply
    9,092.70x = 12,542.81 × 5,729.73
  4. Step 4: Simplify right side
    9,092.70x = 71,866,886.09
  5. Step 5: Solve for x
    x = 71,866,886.09/9,092.70
  6. Step 6: Final answer
    x = 7,903.80

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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.