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Finding the Fourth Proportional to 12,962.72, 19,446.96 and 3,728

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Solution

The fourth proportional to 12,962.72, 19,446.96 and 3,728 is: 5,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,962.72 : 19,446.96 = 3,728 : x
  2. Step 2: Convert to fraction form
    12,962.72/19,446.96 = 3,728/x
  3. Step 3: Cross multiply
    12,962.72x = 19,446.96 × 3,728
  4. Step 4: Simplify right side
    12,962.72x = 72,498,266.88
  5. Step 5: Solve for x
    x = 72,498,266.88/12,962.72
  6. Step 6: Final answer
    x = 5,592.83

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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.