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Finding the Fourth Proportional to 6,765.99, 9,336.74 and 3,781.80

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Solution

The fourth proportional to 6,765.99, 9,336.74 and 3,781.80 is: 5,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.99 : 9,336.74 = 3,781.80 : x
  2. Step 2: Convert to fraction form
    6,765.99/9,336.74 = 3,781.80/x
  3. Step 3: Cross multiply
    6,765.99x = 9,336.74 × 3,781.80
  4. Step 4: Simplify right side
    6,765.99x = 35,309,683.33
  5. Step 5: Solve for x
    x = 35,309,683.33/6,765.99
  6. Step 6: Final answer
    x = 5,218.70

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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.