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Finding the Fourth Proportional to 27,472.06, 41,183.66 and 9,938

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Solution

The fourth proportional to 27,472.06, 41,183.66 and 9,938 is: 14,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472.06 : 41,183.66 = 9,938 : x
  2. Step 2: Convert to fraction form
    27,472.06/41,183.66 = 9,938/x
  3. Step 3: Cross multiply
    27,472.06x = 41,183.66 × 9,938
  4. Step 4: Simplify right side
    27,472.06x = 409,283,213.08
  5. Step 5: Solve for x
    x = 409,283,213.08/27,472.06
  6. Step 6: Final answer
    x = 14,898.16

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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.