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Finding the Fourth Proportional to 6,024.43, 9,051.23 and 3,837.43

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Solution

The fourth proportional to 6,024.43, 9,051.23 and 3,837.43 is: 5,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.43 : 9,051.23 = 3,837.43 : x
  2. Step 2: Convert to fraction form
    6,024.43/9,051.23 = 3,837.43/x
  3. Step 3: Cross multiply
    6,024.43x = 9,051.23 × 3,837.43
  4. Step 4: Simplify right side
    6,024.43x = 34,733,461.54
  5. Step 5: Solve for x
    x = 34,733,461.54/6,024.43
  6. Step 6: Final answer
    x = 5,765.44

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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.