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Finding the Fourth Proportional to 9,744.53, 14,616.82 and 2,724.49

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Solution

The fourth proportional to 9,744.53, 14,616.82 and 2,724.49 is: 4,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.53 : 14,616.82 = 2,724.49 : x
  2. Step 2: Convert to fraction form
    9,744.53/14,616.82 = 2,724.49/x
  3. Step 3: Cross multiply
    9,744.53x = 14,616.82 × 2,724.49
  4. Step 4: Simplify right side
    9,744.53x = 39,823,379.92
  5. Step 5: Solve for x
    x = 39,823,379.92/9,744.53
  6. Step 6: Final answer
    x = 4,086.74

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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.