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Finding the Fourth Proportional to 6,266.42, 9,403.16 and 2,571.24

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Solution

The fourth proportional to 6,266.42, 9,403.16 and 2,571.24 is: 3,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.42 : 9,403.16 = 2,571.24 : x
  2. Step 2: Convert to fraction form
    6,266.42/9,403.16 = 2,571.24/x
  3. Step 3: Cross multiply
    6,266.42x = 9,403.16 × 2,571.24
  4. Step 4: Simplify right side
    6,266.42x = 24,177,817.08
  5. Step 5: Solve for x
    x = 24,177,817.08/6,266.42
  6. Step 6: Final answer
    x = 3,858.31

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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.