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Finding the Fourth Proportional to 9,996.50, 14,992.13 and 2,974.62

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Solution

The fourth proportional to 9,996.50, 14,992.13 and 2,974.62 is: 4,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.50 : 14,992.13 = 2,974.62 : x
  2. Step 2: Convert to fraction form
    9,996.50/14,992.13 = 2,974.62/x
  3. Step 3: Cross multiply
    9,996.50x = 14,992.13 × 2,974.62
  4. Step 4: Simplify right side
    9,996.50x = 44,595,874.87
  5. Step 5: Solve for x
    x = 44,595,874.87/9,996.50
  6. Step 6: Final answer
    x = 4,461.15

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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.