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Finding the Fourth Proportional to 6,452.02, 9,682.26 and 3,532.36

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Solution

The fourth proportional to 6,452.02, 9,682.26 and 3,532.36 is: 5,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.02 : 9,682.26 = 3,532.36 : x
  2. Step 2: Convert to fraction form
    6,452.02/9,682.26 = 3,532.36/x
  3. Step 3: Cross multiply
    6,452.02x = 9,682.26 × 3,532.36
  4. Step 4: Simplify right side
    6,452.02x = 34,201,227.93
  5. Step 5: Solve for x
    x = 34,201,227.93/6,452.02
  6. Step 6: Final answer
    x = 5,300.86

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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.