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Finding the Fourth Proportional to 6,020.82, 9,014.82 and 4,069.14

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Solution

The fourth proportional to 6,020.82, 9,014.82 and 4,069.14 is: 6,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.82 : 9,014.82 = 4,069.14 : x
  2. Step 2: Convert to fraction form
    6,020.82/9,014.82 = 4,069.14/x
  3. Step 3: Cross multiply
    6,020.82x = 9,014.82 × 4,069.14
  4. Step 4: Simplify right side
    6,020.82x = 36,682,564.65
  5. Step 5: Solve for x
    x = 36,682,564.65/6,020.82
  6. Step 6: Final answer
    x = 6,092.62

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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.