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Finding the Fourth Proportional to 6,909.50, 9,535.14 and 3,765.74

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Solution

The fourth proportional to 6,909.50, 9,535.14 and 3,765.74 is: 5,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.50 : 9,535.14 = 3,765.74 : x
  2. Step 2: Convert to fraction form
    6,909.50/9,535.14 = 3,765.74/x
  3. Step 3: Cross multiply
    6,909.50x = 9,535.14 × 3,765.74
  4. Step 4: Simplify right side
    6,909.50x = 35,906,858.10
  5. Step 5: Solve for x
    x = 35,906,858.10/6,909.50
  6. Step 6: Final answer
    x = 5,196.74

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