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Finding the Fourth Proportional to 6,406.92, 9,611.68 and 2,709.15

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Solution

The fourth proportional to 6,406.92, 9,611.68 and 2,709.15 is: 4,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.92 : 9,611.68 = 2,709.15 : x
  2. Step 2: Convert to fraction form
    6,406.92/9,611.68 = 2,709.15/x
  3. Step 3: Cross multiply
    6,406.92x = 9,611.68 × 2,709.15
  4. Step 4: Simplify right side
    6,406.92x = 26,039,450.21
  5. Step 5: Solve for x
    x = 26,039,450.21/6,406.92
  6. Step 6: Final answer
    x = 4,064.27

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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.