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Finding the Fourth Proportional to 6,909.50, 9,535.11 and 3,765.69

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Solution

The fourth proportional to 6,909.50, 9,535.11 and 3,765.69 is: 5,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.50 : 9,535.11 = 3,765.69 : x
  2. Step 2: Convert to fraction form
    6,909.50/9,535.11 = 3,765.69/x
  3. Step 3: Cross multiply
    6,909.50x = 9,535.11 × 3,765.69
  4. Step 4: Simplify right side
    6,909.50x = 35,906,268.38
  5. Step 5: Solve for x
    x = 35,906,268.38/6,909.50
  6. Step 6: Final answer
    x = 5,196.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.