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Finding the Fourth Proportional to 9,196.20, 13,786.20 and 5,499.90

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Solution

The fourth proportional to 9,196.20, 13,786.20 and 5,499.90 is: 8,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.20 : 13,786.20 = 5,499.90 : x
  2. Step 2: Convert to fraction form
    9,196.20/13,786.20 = 5,499.90/x
  3. Step 3: Cross multiply
    9,196.20x = 13,786.20 × 5,499.90
  4. Step 4: Simplify right side
    9,196.20x = 75,822,721.38
  5. Step 5: Solve for x
    x = 75,822,721.38/9,196.20
  6. Step 6: Final answer
    x = 8,245.01

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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.