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Finding the Fourth Proportional to 6,944.97, 9,584.16 and 3,801.15

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Solution

The fourth proportional to 6,944.97, 9,584.16 and 3,801.15 is: 5,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.97 : 9,584.16 = 3,801.15 : x
  2. Step 2: Convert to fraction form
    6,944.97/9,584.16 = 3,801.15/x
  3. Step 3: Cross multiply
    6,944.97x = 9,584.16 × 3,801.15
  4. Step 4: Simplify right side
    6,944.97x = 36,430,829.78
  5. Step 5: Solve for x
    x = 36,430,829.78/6,944.97
  6. Step 6: Final answer
    x = 5,245.64

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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.