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Finding the Fourth Proportional to 9,199.26, 13,801.16 and 2,625.50

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Solution

The fourth proportional to 9,199.26, 13,801.16 and 2,625.50 is: 3,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.26 : 13,801.16 = 2,625.50 : x
  2. Step 2: Convert to fraction form
    9,199.26/13,801.16 = 2,625.50/x
  3. Step 3: Cross multiply
    9,199.26x = 13,801.16 × 2,625.50
  4. Step 4: Simplify right side
    9,199.26x = 36,234,863.45
  5. Step 5: Solve for x
    x = 36,234,863.45/9,199.26
  6. Step 6: Final answer
    x = 3,938.89

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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.