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Finding the Fourth Proportional to 9,231, 13,850.55 and 4,847.43

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Solution

The fourth proportional to 9,231, 13,850.55 and 4,847.43 is: 7,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231 : 13,850.55 = 4,847.43 : x
  2. Step 2: Convert to fraction form
    9,231/13,850.55 = 4,847.43/x
  3. Step 3: Cross multiply
    9,231x = 13,850.55 × 4,847.43
  4. Step 4: Simplify right side
    9,231x = 67,139,571.59
  5. Step 5: Solve for x
    x = 67,139,571.59/9,231
  6. Step 6: Final answer
    x = 7,273.27

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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.