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Finding the Fourth Proportional to 9,793.40, 14,692.24 and 3,219.28

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Solution

The fourth proportional to 9,793.40, 14,692.24 and 3,219.28 is: 4,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.40 : 14,692.24 = 3,219.28 : x
  2. Step 2: Convert to fraction form
    9,793.40/14,692.24 = 3,219.28/x
  3. Step 3: Cross multiply
    9,793.40x = 14,692.24 × 3,219.28
  4. Step 4: Simplify right side
    9,793.40x = 47,298,434.39
  5. Step 5: Solve for x
    x = 47,298,434.39/9,793.40
  6. Step 6: Final answer
    x = 4,829.62

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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.