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Finding the Fourth Proportional to 9,871.71, 13,616.60 and 5,889.75

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Solution

The fourth proportional to 9,871.71, 13,616.60 and 5,889.75 is: 8,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.71 : 13,616.60 = 5,889.75 : x
  2. Step 2: Convert to fraction form
    9,871.71/13,616.60 = 5,889.75/x
  3. Step 3: Cross multiply
    9,871.71x = 13,616.60 × 5,889.75
  4. Step 4: Simplify right side
    9,871.71x = 80,198,340.40
  5. Step 5: Solve for x
    x = 80,198,340.40/9,871.71
  6. Step 6: Final answer
    x = 8,124.06

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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.