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Finding the Fourth Proportional to 27,996.40, 41,993.70 and 9,277.30

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Solution

The fourth proportional to 27,996.40, 41,993.70 and 9,277.30 is: 13,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.40 : 41,993.70 = 9,277.30 : x
  2. Step 2: Convert to fraction form
    27,996.40/41,993.70 = 9,277.30/x
  3. Step 3: Cross multiply
    27,996.40x = 41,993.70 × 9,277.30
  4. Step 4: Simplify right side
    27,996.40x = 389,588,153.01
  5. Step 5: Solve for x
    x = 389,588,153.01/27,996.40
  6. Step 6: Final answer
    x = 13,915.65

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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.