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Finding the Fourth Proportional to 9,745.23, 14,620.28 and 2,819.73

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Solution

The fourth proportional to 9,745.23, 14,620.28 and 2,819.73 is: 4,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.23 : 14,620.28 = 2,819.73 : x
  2. Step 2: Convert to fraction form
    9,745.23/14,620.28 = 2,819.73/x
  3. Step 3: Cross multiply
    9,745.23x = 14,620.28 × 2,819.73
  4. Step 4: Simplify right side
    9,745.23x = 41,225,228.03
  5. Step 5: Solve for x
    x = 41,225,228.03/9,745.23
  6. Step 6: Final answer
    x = 4,230.30

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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.