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Finding the Fourth Proportional to 9,175.37, 13,764.74 and 3,910.37

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Solution

The fourth proportional to 9,175.37, 13,764.74 and 3,910.37 is: 5,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.37 : 13,764.74 = 3,910.37 : x
  2. Step 2: Convert to fraction form
    9,175.37/13,764.74 = 3,910.37/x
  3. Step 3: Cross multiply
    9,175.37x = 13,764.74 × 3,910.37
  4. Step 4: Simplify right side
    9,175.37x = 53,825,137.98
  5. Step 5: Solve for x
    x = 53,825,137.98/9,175.37
  6. Step 6: Final answer
    x = 5,866.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.