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Finding the Fourth Proportional to 27,997.40, 41,995.20 and 9,278.30

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Solution

The fourth proportional to 27,997.40, 41,995.20 and 9,278.30 is: 13,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.40 : 41,995.20 = 9,278.30 : x
  2. Step 2: Convert to fraction form
    27,997.40/41,995.20 = 9,278.30/x
  3. Step 3: Cross multiply
    27,997.40x = 41,995.20 × 9,278.30
  4. Step 4: Simplify right side
    27,997.40x = 389,644,064.16
  5. Step 5: Solve for x
    x = 389,644,064.16/27,997.40
  6. Step 6: Final answer
    x = 13,917.15

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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.