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Finding the Fourth Proportional to 9,197.96, 13,797.75 and 2,624

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Solution

The fourth proportional to 9,197.96, 13,797.75 and 2,624 is: 3,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.96 : 13,797.75 = 2,624 : x
  2. Step 2: Convert to fraction form
    9,197.96/13,797.75 = 2,624/x
  3. Step 3: Cross multiply
    9,197.96x = 13,797.75 × 2,624
  4. Step 4: Simplify right side
    9,197.96x = 36,205,296
  5. Step 5: Solve for x
    x = 36,205,296/9,197.96
  6. Step 6: Final answer
    x = 3,936.23

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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.