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Finding the Fourth Proportional to 9,474.72, 14,212.56 and 2,549.28

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Solution

The fourth proportional to 9,474.72, 14,212.56 and 2,549.28 is: 3,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.72 : 14,212.56 = 2,549.28 : x
  2. Step 2: Convert to fraction form
    9,474.72/14,212.56 = 2,549.28/x
  3. Step 3: Cross multiply
    9,474.72x = 14,212.56 × 2,549.28
  4. Step 4: Simplify right side
    9,474.72x = 36,231,794.96
  5. Step 5: Solve for x
    x = 36,231,794.96/9,474.72
  6. Step 6: Final answer
    x = 3,824.05

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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.