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Finding the Fourth Proportional to 9,472.82, 13,067.68 and 7,230.80

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Solution

The fourth proportional to 9,472.82, 13,067.68 and 7,230.80 is: 9,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.82 : 13,067.68 = 7,230.80 : x
  2. Step 2: Convert to fraction form
    9,472.82/13,067.68 = 7,230.80/x
  3. Step 3: Cross multiply
    9,472.82x = 13,067.68 × 7,230.80
  4. Step 4: Simplify right side
    9,472.82x = 94,489,780.54
  5. Step 5: Solve for x
    x = 94,489,780.54/9,472.82
  6. Step 6: Final answer
    x = 9,974.83

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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.