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Finding the Fourth Proportional to 6,302.32, 9,452.16 and 2,142.26

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Solution

The fourth proportional to 6,302.32, 9,452.16 and 2,142.26 is: 3,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.32 : 9,452.16 = 2,142.26 : x
  2. Step 2: Convert to fraction form
    6,302.32/9,452.16 = 2,142.26/x
  3. Step 3: Cross multiply
    6,302.32x = 9,452.16 × 2,142.26
  4. Step 4: Simplify right side
    6,302.32x = 20,248,972.47
  5. Step 5: Solve for x
    x = 20,248,972.47/6,302.32
  6. Step 6: Final answer
    x = 3,212.94

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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.