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Finding the Fourth Proportional to 6,716.08, 9,267.54 and 3,731.74

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Solution

The fourth proportional to 6,716.08, 9,267.54 and 3,731.74 is: 5,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.08 : 9,267.54 = 3,731.74 : x
  2. Step 2: Convert to fraction form
    6,716.08/9,267.54 = 3,731.74/x
  3. Step 3: Cross multiply
    6,716.08x = 9,267.54 × 3,731.74
  4. Step 4: Simplify right side
    6,716.08x = 34,584,003.38
  5. Step 5: Solve for x
    x = 34,584,003.38/6,716.08
  6. Step 6: Final answer
    x = 5,149.43

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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.