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Finding the Fourth Proportional to 9,228.40, 13,843.00 and 3,381.82

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Solution

The fourth proportional to 9,228.40, 13,843.00 and 3,381.82 is: 5,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.40 : 13,843.00 = 3,381.82 : x
  2. Step 2: Convert to fraction form
    9,228.40/13,843.00 = 3,381.82/x
  3. Step 3: Cross multiply
    9,228.40x = 13,843.00 × 3,381.82
  4. Step 4: Simplify right side
    9,228.40x = 46,814,503.88
  5. Step 5: Solve for x
    x = 46,814,503.88/9,228.40
  6. Step 6: Final answer
    x = 5,072.87

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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.