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Finding the Fourth Proportional to 6,716.22, 9,266.94 and 3,731.42

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Solution

The fourth proportional to 6,716.22, 9,266.94 and 3,731.42 is: 5,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.22 : 9,266.94 = 3,731.42 : x
  2. Step 2: Convert to fraction form
    6,716.22/9,266.94 = 3,731.42/x
  3. Step 3: Cross multiply
    6,716.22x = 9,266.94 × 3,731.42
  4. Step 4: Simplify right side
    6,716.22x = 34,578,845.25
  5. Step 5: Solve for x
    x = 34,578,845.25/6,716.22
  6. Step 6: Final answer
    x = 5,148.56

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Why These Related Problems?

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