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Finding the Fourth Proportional to 6,192.67, 9,267.46 and 5,832.84

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Solution

The fourth proportional to 6,192.67, 9,267.46 and 5,832.84 is: 8,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.67 : 9,267.46 = 5,832.84 : x
  2. Step 2: Convert to fraction form
    6,192.67/9,267.46 = 5,832.84/x
  3. Step 3: Cross multiply
    6,192.67x = 9,267.46 × 5,832.84
  4. Step 4: Simplify right side
    6,192.67x = 54,055,611.39
  5. Step 5: Solve for x
    x = 54,055,611.39/6,192.67
  6. Step 6: Final answer
    x = 8,728.97

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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.