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Finding the Fourth Proportional to 9,014.09, 13,512.01 and 4,327.25

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Solution

The fourth proportional to 9,014.09, 13,512.01 and 4,327.25 is: 6,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.09 : 13,512.01 = 4,327.25 : x
  2. Step 2: Convert to fraction form
    9,014.09/13,512.01 = 4,327.25/x
  3. Step 3: Cross multiply
    9,014.09x = 13,512.01 × 4,327.25
  4. Step 4: Simplify right side
    9,014.09x = 58,469,766.89
  5. Step 5: Solve for x
    x = 58,469,766.89/9,014.09
  6. Step 6: Final answer
    x = 6,486.49

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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.