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Finding the Fourth Proportional to 6,617.71, 9,132.56 and 3,633.83

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Solution

The fourth proportional to 6,617.71, 9,132.56 and 3,633.83 is: 5,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.71 : 9,132.56 = 3,633.83 : x
  2. Step 2: Convert to fraction form
    6,617.71/9,132.56 = 3,633.83/x
  3. Step 3: Cross multiply
    6,617.71x = 9,132.56 × 3,633.83
  4. Step 4: Simplify right side
    6,617.71x = 33,186,170.50
  5. Step 5: Solve for x
    x = 33,186,170.50/6,617.71
  6. Step 6: Final answer
    x = 5,014.75

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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.