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Finding the Fourth Proportional to 9,744.77, 14,616.25 and 2,725.41

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Solution

The fourth proportional to 9,744.77, 14,616.25 and 2,725.41 is: 4,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.77 : 14,616.25 = 2,725.41 : x
  2. Step 2: Convert to fraction form
    9,744.77/14,616.25 = 2,725.41/x
  3. Step 3: Cross multiply
    9,744.77x = 14,616.25 × 2,725.41
  4. Step 4: Simplify right side
    9,744.77x = 39,835,321.91
  5. Step 5: Solve for x
    x = 39,835,321.91/9,744.77
  6. Step 6: Final answer
    x = 4,087.87

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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.