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Finding the Fourth Proportional to 9,644.69, 14,469.17 and 4,102.79

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Solution

The fourth proportional to 9,644.69, 14,469.17 and 4,102.79 is: 6,155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.69 : 14,469.17 = 4,102.79 : x
  2. Step 2: Convert to fraction form
    9,644.69/14,469.17 = 4,102.79/x
  3. Step 3: Cross multiply
    9,644.69x = 14,469.17 × 4,102.79
  4. Step 4: Simplify right side
    9,644.69x = 59,363,965.98
  5. Step 5: Solve for x
    x = 59,363,965.98/9,644.69
  6. Step 6: Final answer
    x = 6,155.09

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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.