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Finding the Fourth Proportional to 6,533.01, 9,791.58 and 3,761.61

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Solution

The fourth proportional to 6,533.01, 9,791.58 and 3,761.61 is: 5,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.01 : 9,791.58 = 3,761.61 : x
  2. Step 2: Convert to fraction form
    6,533.01/9,791.58 = 3,761.61/x
  3. Step 3: Cross multiply
    6,533.01x = 9,791.58 × 3,761.61
  4. Step 4: Simplify right side
    6,533.01x = 36,832,105.24
  5. Step 5: Solve for x
    x = 36,832,105.24/6,533.01
  6. Step 6: Final answer
    x = 5,637.85

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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.