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Finding the Fourth Proportional to 6,011.92, 9,010.99 and 3,761.47

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Solution

The fourth proportional to 6,011.92, 9,010.99 and 3,761.47 is: 5,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.92 : 9,010.99 = 3,761.47 : x
  2. Step 2: Convert to fraction form
    6,011.92/9,010.99 = 3,761.47/x
  3. Step 3: Cross multiply
    6,011.92x = 9,010.99 × 3,761.47
  4. Step 4: Simplify right side
    6,011.92x = 33,894,568.56
  5. Step 5: Solve for x
    x = 33,894,568.56/6,011.92
  6. Step 6: Final answer
    x = 5,637.89

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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.