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Finding the Fourth Proportional to 6,249.22, 9,388.41 and 3,653.98

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Solution

The fourth proportional to 6,249.22, 9,388.41 and 3,653.98 is: 5,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.22 : 9,388.41 = 3,653.98 : x
  2. Step 2: Convert to fraction form
    6,249.22/9,388.41 = 3,653.98/x
  3. Step 3: Cross multiply
    6,249.22x = 9,388.41 × 3,653.98
  4. Step 4: Simplify right side
    6,249.22x = 34,305,062.37
  5. Step 5: Solve for x
    x = 34,305,062.37/6,249.22
  6. Step 6: Final answer
    x = 5,489.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.