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Finding the Fourth Proportional to 9,198.20, 13,806.21 and 8,698.70

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Solution

The fourth proportional to 9,198.20, 13,806.21 and 8,698.70 is: 13,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.20 : 13,806.21 = 8,698.70 : x
  2. Step 2: Convert to fraction form
    9,198.20/13,806.21 = 8,698.70/x
  3. Step 3: Cross multiply
    9,198.20x = 13,806.21 × 8,698.70
  4. Step 4: Simplify right side
    9,198.20x = 120,096,078.93
  5. Step 5: Solve for x
    x = 120,096,078.93/9,198.20
  6. Step 6: Final answer
    x = 13,056.48

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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.