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Finding the Fourth Proportional to 6,617.91, 9,132.76 and 3,634.02

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Solution

The fourth proportional to 6,617.91, 9,132.76 and 3,634.02 is: 5,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.91 : 9,132.76 = 3,634.02 : x
  2. Step 2: Convert to fraction form
    6,617.91/9,132.76 = 3,634.02/x
  3. Step 3: Cross multiply
    6,617.91x = 9,132.76 × 3,634.02
  4. Step 4: Simplify right side
    6,617.91x = 33,188,632.50
  5. Step 5: Solve for x
    x = 33,188,632.50/6,617.91
  6. Step 6: Final answer
    x = 5,014.97

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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.