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Finding the Fourth Proportional to 9,027.48, 13,546.08 and 9,000

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Solution

The fourth proportional to 9,027.48, 13,546.08 and 9,000 is: 13,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.48 : 13,546.08 = 9,000 : x
  2. Step 2: Convert to fraction form
    9,027.48/13,546.08 = 9,000/x
  3. Step 3: Cross multiply
    9,027.48x = 13,546.08 × 9,000
  4. Step 4: Simplify right side
    9,027.48x = 121,914,720
  5. Step 5: Solve for x
    x = 121,914,720/9,027.48
  6. Step 6: Final answer
    x = 13,504.85

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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.