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Finding the Fourth Proportional to 6,909.39, 10,362.63 and 2,229.84

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Solution

The fourth proportional to 6,909.39, 10,362.63 and 2,229.84 is: 3,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.39 : 10,362.63 = 2,229.84 : x
  2. Step 2: Convert to fraction form
    6,909.39/10,362.63 = 2,229.84/x
  3. Step 3: Cross multiply
    6,909.39x = 10,362.63 × 2,229.84
  4. Step 4: Simplify right side
    6,909.39x = 23,107,006.88
  5. Step 5: Solve for x
    x = 23,107,006.88/6,909.39
  6. Step 6: Final answer
    x = 3,344.29

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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.