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Finding the Fourth Proportional to 6,852.44, 9,456.54 and 4,201.31

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Solution

The fourth proportional to 6,852.44, 9,456.54 and 4,201.31 is: 5,797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.44 : 9,456.54 = 4,201.31 : x
  2. Step 2: Convert to fraction form
    6,852.44/9,456.54 = 4,201.31/x
  3. Step 3: Cross multiply
    6,852.44x = 9,456.54 × 4,201.31
  4. Step 4: Simplify right side
    6,852.44x = 39,729,856.07
  5. Step 5: Solve for x
    x = 39,729,856.07/6,852.44
  6. Step 6: Final answer
    x = 5,797.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.