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Finding the Fourth Proportional to 6,032.82, 9,044.10 and 2,744.76

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Solution

The fourth proportional to 6,032.82, 9,044.10 and 2,744.76 is: 4,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.82 : 9,044.10 = 2,744.76 : x
  2. Step 2: Convert to fraction form
    6,032.82/9,044.10 = 2,744.76/x
  3. Step 3: Cross multiply
    6,032.82x = 9,044.10 × 2,744.76
  4. Step 4: Simplify right side
    6,032.82x = 24,823,883.92
  5. Step 5: Solve for x
    x = 24,823,883.92/6,032.82
  6. Step 6: Final answer
    x = 4,114.81

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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.