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Finding the Fourth Proportional to 9,199, 13,796.22 and 2,625.24

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Solution

The fourth proportional to 9,199, 13,796.22 and 2,625.24 is: 3,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199 : 13,796.22 = 2,625.24 : x
  2. Step 2: Convert to fraction form
    9,199/13,796.22 = 2,625.24/x
  3. Step 3: Cross multiply
    9,199x = 13,796.22 × 2,625.24
  4. Step 4: Simplify right side
    9,199x = 36,218,388.59
  5. Step 5: Solve for x
    x = 36,218,388.59/9,199
  6. Step 6: Final answer
    x = 3,937.21

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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.