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Finding the Fourth Proportional to 6,105.78, 9,162.72 and 5,282.82

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Solution

The fourth proportional to 6,105.78, 9,162.72 and 5,282.82 is: 7,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.78 : 9,162.72 = 5,282.82 : x
  2. Step 2: Convert to fraction form
    6,105.78/9,162.72 = 5,282.82/x
  3. Step 3: Cross multiply
    6,105.78x = 9,162.72 × 5,282.82
  4. Step 4: Simplify right side
    6,105.78x = 48,405,000.47
  5. Step 5: Solve for x
    x = 48,405,000.47/6,105.78
  6. Step 6: Final answer
    x = 7,927.73

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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.