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Finding the Fourth Proportional to 6,914.82, 9,542.36 and 3,771

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Solution

The fourth proportional to 6,914.82, 9,542.36 and 3,771 is: 5,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.82 : 9,542.36 = 3,771 : x
  2. Step 2: Convert to fraction form
    6,914.82/9,542.36 = 3,771/x
  3. Step 3: Cross multiply
    6,914.82x = 9,542.36 × 3,771
  4. Step 4: Simplify right side
    6,914.82x = 35,984,220.71
  5. Step 5: Solve for x
    x = 35,984,220.71/6,914.82
  6. Step 6: Final answer
    x = 5,203.93

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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.