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Finding the Fourth Proportional to 6,571.31, 9,846.83 and 3,235.73

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Solution

The fourth proportional to 6,571.31, 9,846.83 and 3,235.73 is: 4,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.31 : 9,846.83 = 3,235.73 : x
  2. Step 2: Convert to fraction form
    6,571.31/9,846.83 = 3,235.73/x
  3. Step 3: Cross multiply
    6,571.31x = 9,846.83 × 3,235.73
  4. Step 4: Simplify right side
    6,571.31x = 31,861,617.82
  5. Step 5: Solve for x
    x = 31,861,617.82/6,571.31
  6. Step 6: Final answer
    x = 4,848.60

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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.