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Finding the Fourth Proportional to 6,176.96, 9,266.34 and 1,793.84

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Solution

The fourth proportional to 6,176.96, 9,266.34 and 1,793.84 is: 2,691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.96 : 9,266.34 = 1,793.84 : x
  2. Step 2: Convert to fraction form
    6,176.96/9,266.34 = 1,793.84/x
  3. Step 3: Cross multiply
    6,176.96x = 9,266.34 × 1,793.84
  4. Step 4: Simplify right side
    6,176.96x = 16,622,331.35
  5. Step 5: Solve for x
    x = 16,622,331.35/6,176.96
  6. Step 6: Final answer
    x = 2,691.02

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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.