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Finding the Fourth Proportional to 6,181.68, 9,272.91 and 2,022.13

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Solution

The fourth proportional to 6,181.68, 9,272.91 and 2,022.13 is: 3,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.68 : 9,272.91 = 2,022.13 : x
  2. Step 2: Convert to fraction form
    6,181.68/9,272.91 = 2,022.13/x
  3. Step 3: Cross multiply
    6,181.68x = 9,272.91 × 2,022.13
  4. Step 4: Simplify right side
    6,181.68x = 18,751,019.39
  5. Step 5: Solve for x
    x = 18,751,019.39/6,181.68
  6. Step 6: Final answer
    x = 3,033.32

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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.