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Finding the Fourth Proportional to 9,793.20, 14,692.23 and 4,593

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Solution

The fourth proportional to 9,793.20, 14,692.23 and 4,593 is: 6,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.20 : 14,692.23 = 4,593 : x
  2. Step 2: Convert to fraction form
    9,793.20/14,692.23 = 4,593/x
  3. Step 3: Cross multiply
    9,793.20x = 14,692.23 × 4,593
  4. Step 4: Simplify right side
    9,793.20x = 67,481,412.39
  5. Step 5: Solve for x
    x = 67,481,412.39/9,793.20
  6. Step 6: Final answer
    x = 6,890.64

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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.