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Finding the Fourth Proportional to 6,626.68, 9,942.94 and 4,406.36

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Solution

The fourth proportional to 6,626.68, 9,942.94 and 4,406.36 is: 6,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.68 : 9,942.94 = 4,406.36 : x
  2. Step 2: Convert to fraction form
    6,626.68/9,942.94 = 4,406.36/x
  3. Step 3: Cross multiply
    6,626.68x = 9,942.94 × 4,406.36
  4. Step 4: Simplify right side
    6,626.68x = 43,812,173.10
  5. Step 5: Solve for x
    x = 43,812,173.10/6,626.68
  6. Step 6: Final answer
    x = 6,611.48

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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.