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Finding the Fourth Proportional to 9,795.92, 14,692.20 and 3,222.14

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Solution

The fourth proportional to 9,795.92, 14,692.20 and 3,222.14 is: 4,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.92 : 14,692.20 = 3,222.14 : x
  2. Step 2: Convert to fraction form
    9,795.92/14,692.20 = 3,222.14/x
  3. Step 3: Cross multiply
    9,795.92x = 14,692.20 × 3,222.14
  4. Step 4: Simplify right side
    9,795.92x = 47,340,325.31
  5. Step 5: Solve for x
    x = 47,340,325.31/9,795.92
  6. Step 6: Final answer
    x = 4,832.66

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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.