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Finding the Fourth Proportional to 8,947.80, 13,411.98 and 3,101.22

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Solution

The fourth proportional to 8,947.80, 13,411.98 and 3,101.22 is: 4,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.80 : 13,411.98 = 3,101.22 : x
  2. Step 2: Convert to fraction form
    8,947.80/13,411.98 = 3,101.22/x
  3. Step 3: Cross multiply
    8,947.80x = 13,411.98 × 3,101.22
  4. Step 4: Simplify right side
    8,947.80x = 41,593,500.62
  5. Step 5: Solve for x
    x = 41,593,500.62/8,947.80
  6. Step 6: Final answer
    x = 4,648.46

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Why These Related Problems?

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