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Finding the Fourth Proportional to 6,286.36, 8,675.60 and 3,634.44

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Solution

The fourth proportional to 6,286.36, 8,675.60 and 3,634.44 is: 5,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.36 : 8,675.60 = 3,634.44 : x
  2. Step 2: Convert to fraction form
    6,286.36/8,675.60 = 3,634.44/x
  3. Step 3: Cross multiply
    6,286.36x = 8,675.60 × 3,634.44
  4. Step 4: Simplify right side
    6,286.36x = 31,530,947.66
  5. Step 5: Solve for x
    x = 31,530,947.66/6,286.36
  6. Step 6: Final answer
    x = 5,015.77

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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.