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Finding the Fourth Proportional to 6,944.94, 9,584.22 and 3,801.33

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Solution

The fourth proportional to 6,944.94, 9,584.22 and 3,801.33 is: 5,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.94 : 9,584.22 = 3,801.33 : x
  2. Step 2: Convert to fraction form
    6,944.94/9,584.22 = 3,801.33/x
  3. Step 3: Cross multiply
    6,944.94x = 9,584.22 × 3,801.33
  4. Step 4: Simplify right side
    6,944.94x = 36,432,764.01
  5. Step 5: Solve for x
    x = 36,432,764.01/6,944.94
  6. Step 6: Final answer
    x = 5,245.94

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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.