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Finding the Fourth Proportional to 9,806.54, 14,709.80 and 3,963.14

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Solution

The fourth proportional to 9,806.54, 14,709.80 and 3,963.14 is: 5,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.54 : 14,709.80 = 3,963.14 : x
  2. Step 2: Convert to fraction form
    9,806.54/14,709.80 = 3,963.14/x
  3. Step 3: Cross multiply
    9,806.54x = 14,709.80 × 3,963.14
  4. Step 4: Simplify right side
    9,806.54x = 58,297,013.73
  5. Step 5: Solve for x
    x = 58,297,013.73/9,806.54
  6. Step 6: Final answer
    x = 5,944.71

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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.