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Finding the Fourth Proportional to 6,832.05, 9,427.64 and 3,847.61

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Solution

The fourth proportional to 6,832.05, 9,427.64 and 3,847.61 is: 5,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.05 : 9,427.64 = 3,847.61 : x
  2. Step 2: Convert to fraction form
    6,832.05/9,427.64 = 3,847.61/x
  3. Step 3: Cross multiply
    6,832.05x = 9,427.64 × 3,847.61
  4. Step 4: Simplify right side
    6,832.05x = 36,273,815.56
  5. Step 5: Solve for x
    x = 36,273,815.56/6,832.05
  6. Step 6: Final answer
    x = 5,309.36

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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.