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Finding the Fourth Proportional to 6,415.27, 8,850.62 and 3,896.44

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Solution

The fourth proportional to 6,415.27, 8,850.62 and 3,896.44 is: 5,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.27 : 8,850.62 = 3,896.44 : x
  2. Step 2: Convert to fraction form
    6,415.27/8,850.62 = 3,896.44/x
  3. Step 3: Cross multiply
    6,415.27x = 8,850.62 × 3,896.44
  4. Step 4: Simplify right side
    6,415.27x = 34,485,897.41
  5. Step 5: Solve for x
    x = 34,485,897.41/6,415.27
  6. Step 6: Final answer
    x = 5,375.60

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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.