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Finding the Fourth Proportional to 9,148.80, 13,722.12 and 2,908.80

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Solution

The fourth proportional to 9,148.80, 13,722.12 and 2,908.80 is: 4,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.80 : 13,722.12 = 2,908.80 : x
  2. Step 2: Convert to fraction form
    9,148.80/13,722.12 = 2,908.80/x
  3. Step 3: Cross multiply
    9,148.80x = 13,722.12 × 2,908.80
  4. Step 4: Simplify right side
    9,148.80x = 39,914,902.66
  5. Step 5: Solve for x
    x = 39,914,902.66/9,148.80
  6. Step 6: Final answer
    x = 4,362.86

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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.