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Finding the Fourth Proportional to 6,691.96, 9,236.06 and 3,858.82

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Solution

The fourth proportional to 6,691.96, 9,236.06 and 3,858.82 is: 5,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.96 : 9,236.06 = 3,858.82 : x
  2. Step 2: Convert to fraction form
    6,691.96/9,236.06 = 3,858.82/x
  3. Step 3: Cross multiply
    6,691.96x = 9,236.06 × 3,858.82
  4. Step 4: Simplify right side
    6,691.96x = 35,640,293.05
  5. Step 5: Solve for x
    x = 35,640,293.05/6,691.96
  6. Step 6: Final answer
    x = 5,325.84

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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.