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Finding the Fourth Proportional to 6,020.20, 9,041.10 and 5,825.80

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Solution

The fourth proportional to 6,020.20, 9,041.10 and 5,825.80 is: 8,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.20 : 9,041.10 = 5,825.80 : x
  2. Step 2: Convert to fraction form
    6,020.20/9,041.10 = 5,825.80/x
  3. Step 3: Cross multiply
    6,020.20x = 9,041.10 × 5,825.80
  4. Step 4: Simplify right side
    6,020.20x = 52,671,640.38
  5. Step 5: Solve for x
    x = 52,671,640.38/6,020.20
  6. Step 6: Final answer
    x = 8,749.15

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