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Finding the Fourth Proportional to 6,765.22, 9,335.98 and 3,781.06

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Solution

The fourth proportional to 6,765.22, 9,335.98 and 3,781.06 is: 5,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.22 : 9,335.98 = 3,781.06 : x
  2. Step 2: Convert to fraction form
    6,765.22/9,335.98 = 3,781.06/x
  3. Step 3: Cross multiply
    6,765.22x = 9,335.98 × 3,781.06
  4. Step 4: Simplify right side
    6,765.22x = 35,299,881.93
  5. Step 5: Solve for x
    x = 35,299,881.93/6,765.22
  6. Step 6: Final answer
    x = 5,217.85

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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.