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Finding the Fourth Proportional to 9,992.97, 13,791.47 and 8,311.41

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Solution

The fourth proportional to 9,992.97, 13,791.47 and 8,311.41 is: 11,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.97 : 13,791.47 = 8,311.41 : x
  2. Step 2: Convert to fraction form
    9,992.97/13,791.47 = 8,311.41/x
  3. Step 3: Cross multiply
    9,992.97x = 13,791.47 × 8,311.41
  4. Step 4: Simplify right side
    9,992.97x = 114,626,520.12
  5. Step 5: Solve for x
    x = 114,626,520.12/9,992.97
  6. Step 6: Final answer
    x = 11,470.72

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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.