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Finding the Fourth Proportional to 27,942.60, 41,912.70 and 9,474.60

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Solution

The fourth proportional to 27,942.60, 41,912.70 and 9,474.60 is: 14,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.60 : 41,912.70 = 9,474.60 : x
  2. Step 2: Convert to fraction form
    27,942.60/41,912.70 = 9,474.60/x
  3. Step 3: Cross multiply
    27,942.60x = 41,912.70 × 9,474.60
  4. Step 4: Simplify right side
    27,942.60x = 397,106,067.42
  5. Step 5: Solve for x
    x = 397,106,067.42/27,942.60
  6. Step 6: Final answer
    x = 14,211.49

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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.