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Finding the Fourth Proportional to 9,274.78, 13,912.92 and 3,727.40

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Solution

The fourth proportional to 9,274.78, 13,912.92 and 3,727.40 is: 5,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.78 : 13,912.92 = 3,727.40 : x
  2. Step 2: Convert to fraction form
    9,274.78/13,912.92 = 3,727.40/x
  3. Step 3: Cross multiply
    9,274.78x = 13,912.92 × 3,727.40
  4. Step 4: Simplify right side
    9,274.78x = 51,859,018.01
  5. Step 5: Solve for x
    x = 51,859,018.01/9,274.78
  6. Step 6: Final answer
    x = 5,591.40

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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.