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Finding the Fourth Proportional to 6,351.96, 9,528.20 and 1,969.44

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Solution

The fourth proportional to 6,351.96, 9,528.20 and 1,969.44 is: 2,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.96 : 9,528.20 = 1,969.44 : x
  2. Step 2: Convert to fraction form
    6,351.96/9,528.20 = 1,969.44/x
  3. Step 3: Cross multiply
    6,351.96x = 9,528.20 × 1,969.44
  4. Step 4: Simplify right side
    6,351.96x = 18,765,218.21
  5. Step 5: Solve for x
    x = 18,765,218.21/6,351.96
  6. Step 6: Final answer
    x = 2,954.24

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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.