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Finding the Fourth Proportional to 6,113.82, 9,171.49 and 2,164.15

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Solution

The fourth proportional to 6,113.82, 9,171.49 and 2,164.15 is: 3,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.82 : 9,171.49 = 2,164.15 : x
  2. Step 2: Convert to fraction form
    6,113.82/9,171.49 = 2,164.15/x
  3. Step 3: Cross multiply
    6,113.82x = 9,171.49 × 2,164.15
  4. Step 4: Simplify right side
    6,113.82x = 19,848,480.08
  5. Step 5: Solve for x
    x = 19,848,480.08/6,113.82
  6. Step 6: Final answer
    x = 3,246.49

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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.