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Finding the Fourth Proportional to 27,812, 41,718 and 9,344

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Solution

The fourth proportional to 27,812, 41,718 and 9,344 is: 14,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812 : 41,718 = 9,344 : x
  2. Step 2: Convert to fraction form
    27,812/41,718 = 9,344/x
  3. Step 3: Cross multiply
    27,812x = 41,718 × 9,344
  4. Step 4: Simplify right side
    27,812x = 389,812,992
  5. Step 5: Solve for x
    x = 389,812,992/27,812
  6. Step 6: Final answer
    x = 14,016

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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.