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Finding the Fourth Proportional to 6,404.13, 9,611.66 and 2,511.27

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Solution

The fourth proportional to 6,404.13, 9,611.66 and 2,511.27 is: 3,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.13 : 9,611.66 = 2,511.27 : x
  2. Step 2: Convert to fraction form
    6,404.13/9,611.66 = 2,511.27/x
  3. Step 3: Cross multiply
    6,404.13x = 9,611.66 × 2,511.27
  4. Step 4: Simplify right side
    6,404.13x = 24,137,473.41
  5. Step 5: Solve for x
    x = 24,137,473.41/6,404.13
  6. Step 6: Final answer
    x = 3,769.05

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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.