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Finding the Fourth Proportional to 9,262.82, 13,891.34 and 3,105.38

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Solution

The fourth proportional to 9,262.82, 13,891.34 and 3,105.38 is: 4,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.82 : 13,891.34 = 3,105.38 : x
  2. Step 2: Convert to fraction form
    9,262.82/13,891.34 = 3,105.38/x
  3. Step 3: Cross multiply
    9,262.82x = 13,891.34 × 3,105.38
  4. Step 4: Simplify right side
    9,262.82x = 43,137,889.41
  5. Step 5: Solve for x
    x = 43,137,889.41/9,262.82
  6. Step 6: Final answer
    x = 4,657.10

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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.