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Finding the Fourth Proportional to 6,414.72, 9,611.40 and 6,171.60

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Solution

The fourth proportional to 6,414.72, 9,611.40 and 6,171.60 is: 9,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.72 : 9,611.40 = 6,171.60 : x
  2. Step 2: Convert to fraction form
    6,414.72/9,611.40 = 6,171.60/x
  3. Step 3: Cross multiply
    6,414.72x = 9,611.40 × 6,171.60
  4. Step 4: Simplify right side
    6,414.72x = 59,317,716.24
  5. Step 5: Solve for x
    x = 59,317,716.24/6,414.72
  6. Step 6: Final answer
    x = 9,247.12

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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.