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Finding the Fourth Proportional to 6,179.92, 9,270.48 and 1,796.20

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Solution

The fourth proportional to 6,179.92, 9,270.48 and 1,796.20 is: 2,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.92 : 9,270.48 = 1,796.20 : x
  2. Step 2: Convert to fraction form
    6,179.92/9,270.48 = 1,796.20/x
  3. Step 3: Cross multiply
    6,179.92x = 9,270.48 × 1,796.20
  4. Step 4: Simplify right side
    6,179.92x = 16,651,636.18
  5. Step 5: Solve for x
    x = 16,651,636.18/6,179.92
  6. Step 6: Final answer
    x = 2,694.47

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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.