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Finding the Fourth Proportional to 6,644.97, 9,968.37 and 1,965.35

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Solution

The fourth proportional to 6,644.97, 9,968.37 and 1,965.35 is: 2,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.97 : 9,968.37 = 1,965.35 : x
  2. Step 2: Convert to fraction form
    6,644.97/9,968.37 = 1,965.35/x
  3. Step 3: Cross multiply
    6,644.97x = 9,968.37 × 1,965.35
  4. Step 4: Simplify right side
    6,644.97x = 19,591,333.79
  5. Step 5: Solve for x
    x = 19,591,333.79/6,644.97
  6. Step 6: Final answer
    x = 2,948.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.