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Finding the Fourth Proportional to 6,177.92, 9,267.48 and 1,794.20

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Solution

The fourth proportional to 6,177.92, 9,267.48 and 1,794.20 is: 2,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.92 : 9,267.48 = 1,794.20 : x
  2. Step 2: Convert to fraction form
    6,177.92/9,267.48 = 1,794.20/x
  3. Step 3: Cross multiply
    6,177.92x = 9,267.48 × 1,794.20
  4. Step 4: Simplify right side
    6,177.92x = 16,627,666.28
  5. Step 5: Solve for x
    x = 16,627,666.28/6,177.92
  6. Step 6: Final answer
    x = 2,691.47

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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.