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Finding the Fourth Proportional to 6,465.96, 9,692.28 and 2,769.12

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Solution

The fourth proportional to 6,465.96, 9,692.28 and 2,769.12 is: 4,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.96 : 9,692.28 = 2,769.12 : x
  2. Step 2: Convert to fraction form
    6,465.96/9,692.28 = 2,769.12/x
  3. Step 3: Cross multiply
    6,465.96x = 9,692.28 × 2,769.12
  4. Step 4: Simplify right side
    6,465.96x = 26,839,086.39
  5. Step 5: Solve for x
    x = 26,839,086.39/6,465.96
  6. Step 6: Final answer
    x = 4,150.83

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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.