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Finding the Fourth Proportional to 9,239.46, 13,846.41 and 8,003.80

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Solution

The fourth proportional to 9,239.46, 13,846.41 and 8,003.80 is: 11,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.46 : 13,846.41 = 8,003.80 : x
  2. Step 2: Convert to fraction form
    9,239.46/13,846.41 = 8,003.80/x
  3. Step 3: Cross multiply
    9,239.46x = 13,846.41 × 8,003.80
  4. Step 4: Simplify right side
    9,239.46x = 110,823,896.36
  5. Step 5: Solve for x
    x = 110,823,896.36/9,239.46
  6. Step 6: Final answer
    x = 11,994.63

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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.