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Finding the Fourth Proportional to 6,362.33, 9,536.84 and 2,142.43

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Solution

The fourth proportional to 6,362.33, 9,536.84 and 2,142.43 is: 3,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.33 : 9,536.84 = 2,142.43 : x
  2. Step 2: Convert to fraction form
    6,362.33/9,536.84 = 2,142.43/x
  3. Step 3: Cross multiply
    6,362.33x = 9,536.84 × 2,142.43
  4. Step 4: Simplify right side
    6,362.33x = 20,431,953.72
  5. Step 5: Solve for x
    x = 20,431,953.72/6,362.33
  6. Step 6: Final answer
    x = 3,211.39

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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.