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Finding the Fourth Proportional to 6,400.42, 9,606.63 and 3,940.04

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Solution

The fourth proportional to 6,400.42, 9,606.63 and 3,940.04 is: 5,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.42 : 9,606.63 = 3,940.04 : x
  2. Step 2: Convert to fraction form
    6,400.42/9,606.63 = 3,940.04/x
  3. Step 3: Cross multiply
    6,400.42x = 9,606.63 × 3,940.04
  4. Step 4: Simplify right side
    6,400.42x = 37,850,512.01
  5. Step 5: Solve for x
    x = 37,850,512.01/6,400.42
  6. Step 6: Final answer
    x = 5,913.76

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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.