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Finding the Fourth Proportional to 6,237.27, 8,601.75 and 4,137.75

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Solution

The fourth proportional to 6,237.27, 8,601.75 and 4,137.75 is: 5,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.27 : 8,601.75 = 4,137.75 : x
  2. Step 2: Convert to fraction form
    6,237.27/8,601.75 = 4,137.75/x
  3. Step 3: Cross multiply
    6,237.27x = 8,601.75 × 4,137.75
  4. Step 4: Simplify right side
    6,237.27x = 35,591,891.06
  5. Step 5: Solve for x
    x = 35,591,891.06/6,237.27
  6. Step 6: Final answer
    x = 5,706.33

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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.