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Finding the Fourth Proportional to 9,999.20, 13,766.61 and 8,227.76

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Solution

The fourth proportional to 9,999.20, 13,766.61 and 8,227.76 is: 11,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.20 : 13,766.61 = 8,227.76 : x
  2. Step 2: Convert to fraction form
    9,999.20/13,766.61 = 8,227.76/x
  3. Step 3: Cross multiply
    9,999.20x = 13,766.61 × 8,227.76
  4. Step 4: Simplify right side
    9,999.20x = 113,268,363.09
  5. Step 5: Solve for x
    x = 113,268,363.09/9,999.20
  6. Step 6: Final answer
    x = 11,327.74

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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.