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Finding the Fourth Proportional to 6,914.73, 10,363.87 and 3,986.98

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Solution

The fourth proportional to 6,914.73, 10,363.87 and 3,986.98 is: 5,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.73 : 10,363.87 = 3,986.98 : x
  2. Step 2: Convert to fraction form
    6,914.73/10,363.87 = 3,986.98/x
  3. Step 3: Cross multiply
    6,914.73x = 10,363.87 × 3,986.98
  4. Step 4: Simplify right side
    6,914.73x = 41,320,542.41
  5. Step 5: Solve for x
    x = 41,320,542.41/6,914.73
  6. Step 6: Final answer
    x = 5,975.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.