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Finding the Fourth Proportional to 6,181.67, 9,251.24 and 5,195.43

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Solution

The fourth proportional to 6,181.67, 9,251.24 and 5,195.43 is: 7,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.67 : 9,251.24 = 5,195.43 : x
  2. Step 2: Convert to fraction form
    6,181.67/9,251.24 = 5,195.43/x
  3. Step 3: Cross multiply
    6,181.67x = 9,251.24 × 5,195.43
  4. Step 4: Simplify right side
    6,181.67x = 48,064,143.86
  5. Step 5: Solve for x
    x = 48,064,143.86/6,181.67
  6. Step 6: Final answer
    x = 7,775.27

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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.