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Finding the Fourth Proportional to 6,309.33, 9,464.00 and 2,149.44

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Solution

The fourth proportional to 6,309.33, 9,464.00 and 2,149.44 is: 3,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.33 : 9,464.00 = 2,149.44 : x
  2. Step 2: Convert to fraction form
    6,309.33/9,464.00 = 2,149.44/x
  3. Step 3: Cross multiply
    6,309.33x = 9,464.00 × 2,149.44
  4. Step 4: Simplify right side
    6,309.33x = 20,342,289.41
  5. Step 5: Solve for x
    x = 20,342,289.41/6,309.33
  6. Step 6: Final answer
    x = 3,224.16

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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.