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Finding the Fourth Proportional to 9,722.80, 14,578.80 and 4,175.20

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Solution

The fourth proportional to 9,722.80, 14,578.80 and 4,175.20 is: 6,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.80 : 14,578.80 = 4,175.20 : x
  2. Step 2: Convert to fraction form
    9,722.80/14,578.80 = 4,175.20/x
  3. Step 3: Cross multiply
    9,722.80x = 14,578.80 × 4,175.20
  4. Step 4: Simplify right side
    9,722.80x = 60,869,405.76
  5. Step 5: Solve for x
    x = 60,869,405.76/9,722.80
  6. Step 6: Final answer
    x = 6,260.48

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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.