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Finding the Fourth Proportional to 6,135.36, 9,202.10 and 2,239.78

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Solution

The fourth proportional to 6,135.36, 9,202.10 and 2,239.78 is: 3,359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.36 : 9,202.10 = 2,239.78 : x
  2. Step 2: Convert to fraction form
    6,135.36/9,202.10 = 2,239.78/x
  3. Step 3: Cross multiply
    6,135.36x = 9,202.10 × 2,239.78
  4. Step 4: Simplify right side
    6,135.36x = 20,610,679.54
  5. Step 5: Solve for x
    x = 20,610,679.54/6,135.36
  6. Step 6: Final answer
    x = 3,359.33

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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.