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Finding the Fourth Proportional to 9,793.20, 14,692.29 and 3,219.45

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Solution

The fourth proportional to 9,793.20, 14,692.29 and 3,219.45 is: 4,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.20 : 14,692.29 = 3,219.45 : x
  2. Step 2: Convert to fraction form
    9,793.20/14,692.29 = 3,219.45/x
  3. Step 3: Cross multiply
    9,793.20x = 14,692.29 × 3,219.45
  4. Step 4: Simplify right side
    9,793.20x = 47,301,025.87
  5. Step 5: Solve for x
    x = 47,301,025.87/9,793.20
  6. Step 6: Final answer
    x = 4,829.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.