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Finding the Fourth Proportional to 8,871.97, 13,306.24 and 2,947.93

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Solution

The fourth proportional to 8,871.97, 13,306.24 and 2,947.93 is: 4,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.97 : 13,306.24 = 2,947.93 : x
  2. Step 2: Convert to fraction form
    8,871.97/13,306.24 = 2,947.93/x
  3. Step 3: Cross multiply
    8,871.97x = 13,306.24 × 2,947.93
  4. Step 4: Simplify right side
    8,871.97x = 39,225,864.08
  5. Step 5: Solve for x
    x = 39,225,864.08/8,871.97
  6. Step 6: Final answer
    x = 4,421.33

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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.