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Finding the Fourth Proportional to 6,057.80, 9,074.70 and 5,336.20

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Solution

The fourth proportional to 6,057.80, 9,074.70 and 5,336.20 is: 7,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.80 : 9,074.70 = 5,336.20 : x
  2. Step 2: Convert to fraction form
    6,057.80/9,074.70 = 5,336.20/x
  3. Step 3: Cross multiply
    6,057.80x = 9,074.70 × 5,336.20
  4. Step 4: Simplify right side
    6,057.80x = 48,424,414.14
  5. Step 5: Solve for x
    x = 48,424,414.14/6,057.80
  6. Step 6: Final answer
    x = 7,993.73

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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.