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Finding the Fourth Proportional to 6,985.97, 9,640.71 and 3,799.26

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Solution

The fourth proportional to 6,985.97, 9,640.71 and 3,799.26 is: 5,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.97 : 9,640.71 = 3,799.26 : x
  2. Step 2: Convert to fraction form
    6,985.97/9,640.71 = 3,799.26/x
  3. Step 3: Cross multiply
    6,985.97x = 9,640.71 × 3,799.26
  4. Step 4: Simplify right side
    6,985.97x = 36,627,563.87
  5. Step 5: Solve for x
    x = 36,627,563.87/6,985.97
  6. Step 6: Final answer
    x = 5,243.02

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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.