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Finding the Fourth Proportional to 6,945, 9,584.11 and 3,801.19

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Solution

The fourth proportional to 6,945, 9,584.11 and 3,801.19 is: 5,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945 : 9,584.11 = 3,801.19 : x
  2. Step 2: Convert to fraction form
    6,945/9,584.11 = 3,801.19/x
  3. Step 3: Cross multiply
    6,945x = 9,584.11 × 3,801.19
  4. Step 4: Simplify right side
    6,945x = 36,431,023.09
  5. Step 5: Solve for x
    x = 36,431,023.09/6,945
  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.