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Finding the Fourth Proportional to 8,962.21, 13,443.84 and 2,722.44

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Solution

The fourth proportional to 8,962.21, 13,443.84 and 2,722.44 is: 4,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.21 : 13,443.84 = 2,722.44 : x
  2. Step 2: Convert to fraction form
    8,962.21/13,443.84 = 2,722.44/x
  3. Step 3: Cross multiply
    8,962.21x = 13,443.84 × 2,722.44
  4. Step 4: Simplify right side
    8,962.21x = 36,600,098.18
  5. Step 5: Solve for x
    x = 36,600,098.18/8,962.21
  6. Step 6: Final answer
    x = 4,083.82

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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.