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Finding the Fourth Proportional to 6,134.72, 9,202.09 and 2,238.22

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Solution

The fourth proportional to 6,134.72, 9,202.09 and 2,238.22 is: 3,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.72 : 9,202.09 = 2,238.22 : x
  2. Step 2: Convert to fraction form
    6,134.72/9,202.09 = 2,238.22/x
  3. Step 3: Cross multiply
    6,134.72x = 9,202.09 × 2,238.22
  4. Step 4: Simplify right side
    6,134.72x = 20,596,301.88
  5. Step 5: Solve for x
    x = 20,596,301.88/6,134.72
  6. Step 6: Final answer
    x = 3,357.33

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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.