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Finding the Fourth Proportional to 9,182.20, 13,773.30 and 8,183.80

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Solution

The fourth proportional to 9,182.20, 13,773.30 and 8,183.80 is: 12,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.20 : 13,773.30 = 8,183.80 : x
  2. Step 2: Convert to fraction form
    9,182.20/13,773.30 = 8,183.80/x
  3. Step 3: Cross multiply
    9,182.20x = 13,773.30 × 8,183.80
  4. Step 4: Simplify right side
    9,182.20x = 112,717,932.54
  5. Step 5: Solve for x
    x = 112,717,932.54/9,182.20
  6. Step 6: Final answer
    x = 12,275.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.