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Finding the Fourth Proportional to 6,765.75, 9,336.57 and 3,781.62

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Solution

The fourth proportional to 6,765.75, 9,336.57 and 3,781.62 is: 5,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.75 : 9,336.57 = 3,781.62 : x
  2. Step 2: Convert to fraction form
    6,765.75/9,336.57 = 3,781.62/x
  3. Step 3: Cross multiply
    6,765.75x = 9,336.57 × 3,781.62
  4. Step 4: Simplify right side
    6,765.75x = 35,307,359.84
  5. Step 5: Solve for x
    x = 35,307,359.84/6,765.75
  6. Step 6: Final answer
    x = 5,218.54

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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.