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Finding the Fourth Proportional to 9,866.22, 13,617.81 and 5,889.84

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Solution

The fourth proportional to 9,866.22, 13,617.81 and 5,889.84 is: 8,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.22 : 13,617.81 = 5,889.84 : x
  2. Step 2: Convert to fraction form
    9,866.22/13,617.81 = 5,889.84/x
  3. Step 3: Cross multiply
    9,866.22x = 13,617.81 × 5,889.84
  4. Step 4: Simplify right side
    9,866.22x = 80,206,722.05
  5. Step 5: Solve for x
    x = 80,206,722.05/9,866.22
  6. Step 6: Final answer
    x = 8,129.43

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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.