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Finding the Fourth Proportional to 6,909.49, 10,365.14 and 2,229.67

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Solution

The fourth proportional to 6,909.49, 10,365.14 and 2,229.67 is: 3,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.49 : 10,365.14 = 2,229.67 : x
  2. Step 2: Convert to fraction form
    6,909.49/10,365.14 = 2,229.67/x
  3. Step 3: Cross multiply
    6,909.49x = 10,365.14 × 2,229.67
  4. Step 4: Simplify right side
    6,909.49x = 23,110,841.70
  5. Step 5: Solve for x
    x = 23,110,841.70/6,909.49
  6. Step 6: Final answer
    x = 3,344.80

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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.