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Finding the Fourth Proportional to 8,135.46, 12,194.98 and 6,183.56

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Solution

The fourth proportional to 8,135.46, 12,194.98 and 6,183.56 is: 9,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.46 : 12,194.98 = 6,183.56 : x
  2. Step 2: Convert to fraction form
    8,135.46/12,194.98 = 6,183.56/x
  3. Step 3: Cross multiply
    8,135.46x = 12,194.98 × 6,183.56
  4. Step 4: Simplify right side
    8,135.46x = 75,408,405.56
  5. Step 5: Solve for x
    x = 75,408,405.56/8,135.46
  6. Step 6: Final answer
    x = 9,269.10

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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.