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Finding the Fourth Proportional to 6,944.84, 9,584.04 and 3,801.26

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Solution

The fourth proportional to 6,944.84, 9,584.04 and 3,801.26 is: 5,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.84 : 9,584.04 = 3,801.26 : x
  2. Step 2: Convert to fraction form
    6,944.84/9,584.04 = 3,801.26/x
  3. Step 3: Cross multiply
    6,944.84x = 9,584.04 × 3,801.26
  4. Step 4: Simplify right side
    6,944.84x = 36,431,427.89
  5. Step 5: Solve for x
    x = 36,431,427.89/6,944.84
  6. Step 6: Final answer
    x = 5,245.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.