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Finding the Fourth Proportional to 6,771.04, 9,344.09 and 3,938.56

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Solution

The fourth proportional to 6,771.04, 9,344.09 and 3,938.56 is: 5,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.04 : 9,344.09 = 3,938.56 : x
  2. Step 2: Convert to fraction form
    6,771.04/9,344.09 = 3,938.56/x
  3. Step 3: Cross multiply
    6,771.04x = 9,344.09 × 3,938.56
  4. Step 4: Simplify right side
    6,771.04x = 36,802,259.11
  5. Step 5: Solve for x
    x = 36,802,259.11/6,771.04
  6. Step 6: Final answer
    x = 5,435.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.