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Finding the Fourth Proportional to 6,533.91, 9,016.02 and 3,701.61

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Solution

The fourth proportional to 6,533.91, 9,016.02 and 3,701.61 is: 5,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.91 : 9,016.02 = 3,701.61 : x
  2. Step 2: Convert to fraction form
    6,533.91/9,016.02 = 3,701.61/x
  3. Step 3: Cross multiply
    6,533.91x = 9,016.02 × 3,701.61
  4. Step 4: Simplify right side
    6,533.91x = 33,373,789.79
  5. Step 5: Solve for x
    x = 33,373,789.79/6,533.91
  6. Step 6: Final answer
    x = 5,107.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.