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Finding the Fourth Proportional to 6,944.94, 9,584.18 and 3,801.14

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Solution

The fourth proportional to 6,944.94, 9,584.18 and 3,801.14 is: 5,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.94 : 9,584.18 = 3,801.14 : x
  2. Step 2: Convert to fraction form
    6,944.94/9,584.18 = 3,801.14/x
  3. Step 3: Cross multiply
    6,944.94x = 9,584.18 × 3,801.14
  4. Step 4: Simplify right side
    6,944.94x = 36,430,743.04
  5. Step 5: Solve for x
    x = 36,430,743.04/6,944.94
  6. Step 6: Final answer
    x = 5,245.65

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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.