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Finding the Fourth Proportional to 6,448.25, 9,675.10 and 3,523.14

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Solution

The fourth proportional to 6,448.25, 9,675.10 and 3,523.14 is: 5,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.25 : 9,675.10 = 3,523.14 : x
  2. Step 2: Convert to fraction form
    6,448.25/9,675.10 = 3,523.14/x
  3. Step 3: Cross multiply
    6,448.25x = 9,675.10 × 3,523.14
  4. Step 4: Simplify right side
    6,448.25x = 34,086,683.44
  5. Step 5: Solve for x
    x = 34,086,683.44/6,448.25
  6. Step 6: Final answer
    x = 5,286.20

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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.