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Finding the Fourth Proportional to 6,046.75, 9,065.22 and 2,149.03

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Solution

The fourth proportional to 6,046.75, 9,065.22 and 2,149.03 is: 3,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.75 : 9,065.22 = 2,149.03 : x
  2. Step 2: Convert to fraction form
    6,046.75/9,065.22 = 2,149.03/x
  3. Step 3: Cross multiply
    6,046.75x = 9,065.22 × 2,149.03
  4. Step 4: Simplify right side
    6,046.75x = 19,481,429.74
  5. Step 5: Solve for x
    x = 19,481,429.74/6,046.75
  6. Step 6: Final answer
    x = 3,221.80

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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.