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Finding the Fourth Proportional to 9,896.75, 14,846.34 and 3,233.09

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Solution

The fourth proportional to 9,896.75, 14,846.34 and 3,233.09 is: 4,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.75 : 14,846.34 = 3,233.09 : x
  2. Step 2: Convert to fraction form
    9,896.75/14,846.34 = 3,233.09/x
  3. Step 3: Cross multiply
    9,896.75x = 14,846.34 × 3,233.09
  4. Step 4: Simplify right side
    9,896.75x = 47,999,479.16
  5. Step 5: Solve for x
    x = 47,999,479.16/9,896.75
  6. Step 6: Final answer
    x = 4,850.03

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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.