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Finding the Fourth Proportional to 6,411.82, 8,847.96 and 3,617.14

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Solution

The fourth proportional to 6,411.82, 8,847.96 and 3,617.14 is: 4,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.82 : 8,847.96 = 3,617.14 : x
  2. Step 2: Convert to fraction form
    6,411.82/8,847.96 = 3,617.14/x
  3. Step 3: Cross multiply
    6,411.82x = 8,847.96 × 3,617.14
  4. Step 4: Simplify right side
    6,411.82x = 32,004,310.03
  5. Step 5: Solve for x
    x = 32,004,310.03/6,411.82
  6. Step 6: Final answer
    x = 4,991.45

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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.