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Finding the Fourth Proportional to 9,188.75, 13,772.37 and 3,922.27

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Solution

The fourth proportional to 9,188.75, 13,772.37 and 3,922.27 is: 5,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.75 : 13,772.37 = 3,922.27 : x
  2. Step 2: Convert to fraction form
    9,188.75/13,772.37 = 3,922.27/x
  3. Step 3: Cross multiply
    9,188.75x = 13,772.37 × 3,922.27
  4. Step 4: Simplify right side
    9,188.75x = 54,018,953.68
  5. Step 5: Solve for x
    x = 54,018,953.68/9,188.75
  6. Step 6: Final answer
    x = 5,878.81

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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.