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Finding the Fourth Proportional to 6,181.09, 9,269.13 and 3,837.62

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Solution

The fourth proportional to 6,181.09, 9,269.13 and 3,837.62 is: 5,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.09 : 9,269.13 = 3,837.62 : x
  2. Step 2: Convert to fraction form
    6,181.09/9,269.13 = 3,837.62/x
  3. Step 3: Cross multiply
    6,181.09x = 9,269.13 × 3,837.62
  4. Step 4: Simplify right side
    6,181.09x = 35,571,436.23
  5. Step 5: Solve for x
    x = 35,571,436.23/6,181.09
  6. Step 6: Final answer
    x = 5,754.88

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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.