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Finding the Fourth Proportional to 6,309.44, 9,462.93 and 2,149.41

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Solution

The fourth proportional to 6,309.44, 9,462.93 and 2,149.41 is: 3,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.44 : 9,462.93 = 2,149.41 : x
  2. Step 2: Convert to fraction form
    6,309.44/9,462.93 = 2,149.41/x
  3. Step 3: Cross multiply
    6,309.44x = 9,462.93 × 2,149.41
  4. Step 4: Simplify right side
    6,309.44x = 20,339,716.37
  5. Step 5: Solve for x
    x = 20,339,716.37/6,309.44
  6. Step 6: Final answer
    x = 3,223.70

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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.