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Finding the Fourth Proportional to 9,754.62, 14,629.32 and 2,734.24

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Solution

The fourth proportional to 9,754.62, 14,629.32 and 2,734.24 is: 4,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.62 : 14,629.32 = 2,734.24 : x
  2. Step 2: Convert to fraction form
    9,754.62/14,629.32 = 2,734.24/x
  3. Step 3: Cross multiply
    9,754.62x = 14,629.32 × 2,734.24
  4. Step 4: Simplify right side
    9,754.62x = 40,000,071.92
  5. Step 5: Solve for x
    x = 40,000,071.92/9,754.62
  6. Step 6: Final answer
    x = 4,100.63

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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.