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Finding the Fourth Proportional to 9,604.22, 14,396.43 and 3,679.49

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Solution

The fourth proportional to 9,604.22, 14,396.43 and 3,679.49 is: 5,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.22 : 14,396.43 = 3,679.49 : x
  2. Step 2: Convert to fraction form
    9,604.22/14,396.43 = 3,679.49/x
  3. Step 3: Cross multiply
    9,604.22x = 14,396.43 × 3,679.49
  4. Step 4: Simplify right side
    9,604.22x = 52,971,520.22
  5. Step 5: Solve for x
    x = 52,971,520.22/9,604.22
  6. Step 6: Final answer
    x = 5,515.44

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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.