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Finding the Fourth Proportional to 9,167.20, 13,744.80 and 3,617.20

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Solution

The fourth proportional to 9,167.20, 13,744.80 and 3,617.20 is: 5,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.20 : 13,744.80 = 3,617.20 : x
  2. Step 2: Convert to fraction form
    9,167.20/13,744.80 = 3,617.20/x
  3. Step 3: Cross multiply
    9,167.20x = 13,744.80 × 3,617.20
  4. Step 4: Simplify right side
    9,167.20x = 49,717,690.56
  5. Step 5: Solve for x
    x = 49,717,690.56/9,167.20
  6. Step 6: Final answer
    x = 5,423.43

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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.