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Finding the Fourth Proportional to 9,871.67, 13,614.09 and 8,190.42

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Solution

The fourth proportional to 9,871.67, 13,614.09 and 8,190.42 is: 11,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.67 : 13,614.09 = 8,190.42 : x
  2. Step 2: Convert to fraction form
    9,871.67/13,614.09 = 8,190.42/x
  3. Step 3: Cross multiply
    9,871.67x = 13,614.09 × 8,190.42
  4. Step 4: Simplify right side
    9,871.67x = 111,505,033.25
  5. Step 5: Solve for x
    x = 111,505,033.25/9,871.67
  6. Step 6: Final answer
    x = 11,295.46

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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.