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Finding the Fourth Proportional to 7,063.97, 9,748.09 and 3,877.27

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Solution

The fourth proportional to 7,063.97, 9,748.09 and 3,877.27 is: 5,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.97 : 9,748.09 = 3,877.27 : x
  2. Step 2: Convert to fraction form
    7,063.97/9,748.09 = 3,877.27/x
  3. Step 3: Cross multiply
    7,063.97x = 9,748.09 × 3,877.27
  4. Step 4: Simplify right side
    7,063.97x = 37,795,942.85
  5. Step 5: Solve for x
    x = 37,795,942.85/7,063.97
  6. Step 6: Final answer
    x = 5,350.52

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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.