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Finding the Fourth Proportional to 6,302.37, 9,452.75 and 2,142.21

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Solution

The fourth proportional to 6,302.37, 9,452.75 and 2,142.21 is: 3,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.37 : 9,452.75 = 2,142.21 : x
  2. Step 2: Convert to fraction form
    6,302.37/9,452.75 = 2,142.21/x
  3. Step 3: Cross multiply
    6,302.37x = 9,452.75 × 2,142.21
  4. Step 4: Simplify right side
    6,302.37x = 20,249,764.87
  5. Step 5: Solve for x
    x = 20,249,764.87/6,302.37
  6. Step 6: Final answer
    x = 3,213.04

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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.