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Finding the Fourth Proportional to 6,409.94, 9,611.83 and 3,635.89

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Solution

The fourth proportional to 6,409.94, 9,611.83 and 3,635.89 is: 5,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.94 : 9,611.83 = 3,635.89 : x
  2. Step 2: Convert to fraction form
    6,409.94/9,611.83 = 3,635.89/x
  3. Step 3: Cross multiply
    6,409.94x = 9,611.83 × 3,635.89
  4. Step 4: Simplify right side
    6,409.94x = 34,947,537.09
  5. Step 5: Solve for x
    x = 34,947,537.09/6,409.94
  6. Step 6: Final answer
    x = 5,452.09

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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.