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Finding the Fourth Proportional to 27,912.08, 41,874.20 and 9,194

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Solution

The fourth proportional to 27,912.08, 41,874.20 and 9,194 is: 13,793.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912.08 : 41,874.20 = 9,194 : x
  2. Step 2: Convert to fraction form
    27,912.08/41,874.20 = 9,194/x
  3. Step 3: Cross multiply
    27,912.08x = 41,874.20 × 9,194
  4. Step 4: Simplify right side
    27,912.08x = 384,991,394.80
  5. Step 5: Solve for x
    x = 384,991,394.80/27,912.08
  6. Step 6: Final answer
    x = 13,793.00

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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.