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Finding the Fourth Proportional to 6,945.67, 9,584.44 and 3,961.45

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Solution

The fourth proportional to 6,945.67, 9,584.44 and 3,961.45 is: 5,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.67 : 9,584.44 = 3,961.45 : x
  2. Step 2: Convert to fraction form
    6,945.67/9,584.44 = 3,961.45/x
  3. Step 3: Cross multiply
    6,945.67x = 9,584.44 × 3,961.45
  4. Step 4: Simplify right side
    6,945.67x = 37,968,279.84
  5. Step 5: Solve for x
    x = 37,968,279.84/6,945.67
  6. Step 6: Final answer
    x = 5,466.47

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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.