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Finding the Fourth Proportional to 9,722.62, 14,571.62 and 6,211.27

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Solution

The fourth proportional to 9,722.62, 14,571.62 and 6,211.27 is: 9,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.62 : 14,571.62 = 6,211.27 : x
  2. Step 2: Convert to fraction form
    9,722.62/14,571.62 = 6,211.27/x
  3. Step 3: Cross multiply
    9,722.62x = 14,571.62 × 6,211.27
  4. Step 4: Simplify right side
    9,722.62x = 90,508,266.16
  5. Step 5: Solve for x
    x = 90,508,266.16/9,722.62
  6. Step 6: Final answer
    x = 9,309.04

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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.