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Finding the Fourth Proportional to 6,238.36, 9,357.54 and 2,134.36

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Solution

The fourth proportional to 6,238.36, 9,357.54 and 2,134.36 is: 3,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.36 : 9,357.54 = 2,134.36 : x
  2. Step 2: Convert to fraction form
    6,238.36/9,357.54 = 2,134.36/x
  3. Step 3: Cross multiply
    6,238.36x = 9,357.54 × 2,134.36
  4. Step 4: Simplify right side
    6,238.36x = 19,972,359.07
  5. Step 5: Solve for x
    x = 19,972,359.07/6,238.36
  6. Step 6: Final answer
    x = 3,201.54

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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.