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Finding the Fourth Proportional to 9,198.12, 13,793.16 and 2,622.84

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Solution

The fourth proportional to 9,198.12, 13,793.16 and 2,622.84 is: 3,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.12 : 13,793.16 = 2,622.84 : x
  2. Step 2: Convert to fraction form
    9,198.12/13,793.16 = 2,622.84/x
  3. Step 3: Cross multiply
    9,198.12x = 13,793.16 × 2,622.84
  4. Step 4: Simplify right side
    9,198.12x = 36,177,251.77
  5. Step 5: Solve for x
    x = 36,177,251.77/9,198.12
  6. Step 6: Final answer
    x = 3,933.11

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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.