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Finding the Fourth Proportional to 6,161.92, 9,236.26 and 2,209.37

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Solution

The fourth proportional to 6,161.92, 9,236.26 and 2,209.37 is: 3,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.92 : 9,236.26 = 2,209.37 : x
  2. Step 2: Convert to fraction form
    6,161.92/9,236.26 = 2,209.37/x
  3. Step 3: Cross multiply
    6,161.92x = 9,236.26 × 2,209.37
  4. Step 4: Simplify right side
    6,161.92x = 20,406,304.71
  5. Step 5: Solve for x
    x = 20,406,304.71/6,161.92
  6. Step 6: Final answer
    x = 3,311.68

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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.