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Finding the Fourth Proportional to 9,767.55, 14,650.02 and 2,748.09

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Solution

The fourth proportional to 9,767.55, 14,650.02 and 2,748.09 is: 4,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.55 : 14,650.02 = 2,748.09 : x
  2. Step 2: Convert to fraction form
    9,767.55/14,650.02 = 2,748.09/x
  3. Step 3: Cross multiply
    9,767.55x = 14,650.02 × 2,748.09
  4. Step 4: Simplify right side
    9,767.55x = 40,259,573.46
  5. Step 5: Solve for x
    x = 40,259,573.46/9,767.55
  6. Step 6: Final answer
    x = 4,121.77

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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.