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Finding the Fourth Proportional to 9,367, 14,052.78 and 3,211

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Solution

The fourth proportional to 9,367, 14,052.78 and 3,211 is: 4,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367 : 14,052.78 = 3,211 : x
  2. Step 2: Convert to fraction form
    9,367/14,052.78 = 3,211/x
  3. Step 3: Cross multiply
    9,367x = 14,052.78 × 3,211
  4. Step 4: Simplify right side
    9,367x = 45,123,476.58
  5. Step 5: Solve for x
    x = 45,123,476.58/9,367
  6. Step 6: Final answer
    x = 4,817.28

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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.