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Finding the Fourth Proportional to 9,768.26, 14,652.19 and 2,748.20

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Solution

The fourth proportional to 9,768.26, 14,652.19 and 2,748.20 is: 4,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.26 : 14,652.19 = 2,748.20 : x
  2. Step 2: Convert to fraction form
    9,768.26/14,652.19 = 2,748.20/x
  3. Step 3: Cross multiply
    9,768.26x = 14,652.19 × 2,748.20
  4. Step 4: Simplify right side
    9,768.26x = 40,267,078.73
  5. Step 5: Solve for x
    x = 40,267,078.73/9,768.26
  6. Step 6: Final answer
    x = 4,122.24

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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.