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Finding the Fourth Proportional to 8,134.96, 12,194.24 and 6,183.06

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Solution

The fourth proportional to 8,134.96, 12,194.24 and 6,183.06 is: 9,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.96 : 12,194.24 = 6,183.06 : x
  2. Step 2: Convert to fraction form
    8,134.96/12,194.24 = 6,183.06/x
  3. Step 3: Cross multiply
    8,134.96x = 12,194.24 × 6,183.06
  4. Step 4: Simplify right side
    8,134.96x = 75,397,717.57
  5. Step 5: Solve for x
    x = 75,397,717.57/8,134.96
  6. Step 6: Final answer
    x = 9,268.36

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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.