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Finding the Fourth Proportional to 9,991.20, 13,782.66 and 8,104.92

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Solution

The fourth proportional to 9,991.20, 13,782.66 and 8,104.92 is: 11,180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.20 : 13,782.66 = 8,104.92 : x
  2. Step 2: Convert to fraction form
    9,991.20/13,782.66 = 8,104.92/x
  3. Step 3: Cross multiply
    9,991.20x = 13,782.66 × 8,104.92
  4. Step 4: Simplify right side
    9,991.20x = 111,707,356.69
  5. Step 5: Solve for x
    x = 111,707,356.69/9,991.20
  6. Step 6: Final answer
    x = 11,180.57

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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.