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Finding the Fourth Proportional to 6,909.76, 10,366.68 and 2,229.69

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Solution

The fourth proportional to 6,909.76, 10,366.68 and 2,229.69 is: 3,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.76 : 10,366.68 = 2,229.69 : x
  2. Step 2: Convert to fraction form
    6,909.76/10,366.68 = 2,229.69/x
  3. Step 3: Cross multiply
    6,909.76x = 10,366.68 × 2,229.69
  4. Step 4: Simplify right side
    6,909.76x = 23,114,436.23
  5. Step 5: Solve for x
    x = 23,114,436.23/6,909.76
  6. Step 6: Final answer
    x = 3,345.18

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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.