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Finding the Fourth Proportional to 9,020.80, 13,524.80 and 4,092.80

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Solution

The fourth proportional to 9,020.80, 13,524.80 and 4,092.80 is: 6,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.80 : 13,524.80 = 4,092.80 : x
  2. Step 2: Convert to fraction form
    9,020.80/13,524.80 = 4,092.80/x
  3. Step 3: Cross multiply
    9,020.80x = 13,524.80 × 4,092.80
  4. Step 4: Simplify right side
    9,020.80x = 55,354,301.44
  5. Step 5: Solve for x
    x = 55,354,301.44/9,020.80
  6. Step 6: Final answer
    x = 6,136.30

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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.