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Finding the Fourth Proportional to 6,189.33, 9,284.22 and 2,029.17

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Solution

The fourth proportional to 6,189.33, 9,284.22 and 2,029.17 is: 3,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.33 : 9,284.22 = 2,029.17 : x
  2. Step 2: Convert to fraction form
    6,189.33/9,284.22 = 2,029.17/x
  3. Step 3: Cross multiply
    6,189.33x = 9,284.22 × 2,029.17
  4. Step 4: Simplify right side
    6,189.33x = 18,839,260.70
  5. Step 5: Solve for x
    x = 18,839,260.70/6,189.33
  6. Step 6: Final answer
    x = 3,043.83

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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.