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Finding the Fourth Proportional to 6,179.88, 9,270.54 and 2,020.20

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Solution

The fourth proportional to 6,179.88, 9,270.54 and 2,020.20 is: 3,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.88 : 9,270.54 = 2,020.20 : x
  2. Step 2: Convert to fraction form
    6,179.88/9,270.54 = 2,020.20/x
  3. Step 3: Cross multiply
    6,179.88x = 9,270.54 × 2,020.20
  4. Step 4: Simplify right side
    6,179.88x = 18,728,344.91
  5. Step 5: Solve for x
    x = 18,728,344.91/6,179.88
  6. Step 6: Final answer
    x = 3,030.54

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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.