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Finding the Fourth Proportional to 9,767.71, 14,650.49 and 2,747.95

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Solution

The fourth proportional to 9,767.71, 14,650.49 and 2,747.95 is: 4,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.71 : 14,650.49 = 2,747.95 : x
  2. Step 2: Convert to fraction form
    9,767.71/14,650.49 = 2,747.95/x
  3. Step 3: Cross multiply
    9,767.71x = 14,650.49 × 2,747.95
  4. Step 4: Simplify right side
    9,767.71x = 40,258,727.00
  5. Step 5: Solve for x
    x = 40,258,727.00/9,767.71
  6. Step 6: Final answer
    x = 4,121.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.