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Finding the Fourth Proportional to 6,143.19, 9,213.87 and 3,022.36

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Solution

The fourth proportional to 6,143.19, 9,213.87 and 3,022.36 is: 4,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.19 : 9,213.87 = 3,022.36 : x
  2. Step 2: Convert to fraction form
    6,143.19/9,213.87 = 3,022.36/x
  3. Step 3: Cross multiply
    6,143.19x = 9,213.87 × 3,022.36
  4. Step 4: Simplify right side
    6,143.19x = 27,847,620.43
  5. Step 5: Solve for x
    x = 27,847,620.43/6,143.19
  6. Step 6: Final answer
    x = 4,533.09

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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.