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Finding the Fourth Proportional to 6,638.35, 9,962.04 and 2,742.73

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Solution

The fourth proportional to 6,638.35, 9,962.04 and 2,742.73 is: 4,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.35 : 9,962.04 = 2,742.73 : x
  2. Step 2: Convert to fraction form
    6,638.35/9,962.04 = 2,742.73/x
  3. Step 3: Cross multiply
    6,638.35x = 9,962.04 × 2,742.73
  4. Step 4: Simplify right side
    6,638.35x = 27,323,136.16
  5. Step 5: Solve for x
    x = 27,323,136.16/6,638.35
  6. Step 6: Final answer
    x = 4,115.96

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