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Finding the Fourth Proportional to 6,765.86, 9,336.26 and 3,781.28

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Solution

The fourth proportional to 6,765.86, 9,336.26 and 3,781.28 is: 5,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.86 : 9,336.26 = 3,781.28 : x
  2. Step 2: Convert to fraction form
    6,765.86/9,336.26 = 3,781.28/x
  3. Step 3: Cross multiply
    6,765.86x = 9,336.26 × 3,781.28
  4. Step 4: Simplify right side
    6,765.86x = 35,302,947.63
  5. Step 5: Solve for x
    x = 35,302,947.63/6,765.86
  6. Step 6: Final answer
    x = 5,217.81

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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.