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Finding the Fourth Proportional to 6,176.57, 9,265.36 and 1,794.02

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Solution

The fourth proportional to 6,176.57, 9,265.36 and 1,794.02 is: 2,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.57 : 9,265.36 = 1,794.02 : x
  2. Step 2: Convert to fraction form
    6,176.57/9,265.36 = 1,794.02/x
  3. Step 3: Cross multiply
    6,176.57x = 9,265.36 × 1,794.02
  4. Step 4: Simplify right side
    6,176.57x = 16,622,276.92
  5. Step 5: Solve for x
    x = 16,622,276.92/6,176.57
  6. Step 6: Final answer
    x = 2,691.18

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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.