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Finding the Fourth Proportional to 9,291.97, 12,813.24 and 7,167.85

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Solution

The fourth proportional to 9,291.97, 12,813.24 and 7,167.85 is: 9,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.97 : 12,813.24 = 7,167.85 : x
  2. Step 2: Convert to fraction form
    9,291.97/12,813.24 = 7,167.85/x
  3. Step 3: Cross multiply
    9,291.97x = 12,813.24 × 7,167.85
  4. Step 4: Simplify right side
    9,291.97x = 91,843,382.33
  5. Step 5: Solve for x
    x = 91,843,382.33/9,291.97
  6. Step 6: Final answer
    x = 9,884.17

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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.