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Finding the Fourth Proportional to 9,600.22, 14,404.50 and 3,364.70

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Solution

The fourth proportional to 9,600.22, 14,404.50 and 3,364.70 is: 5,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.22 : 14,404.50 = 3,364.70 : x
  2. Step 2: Convert to fraction form
    9,600.22/14,404.50 = 3,364.70/x
  3. Step 3: Cross multiply
    9,600.22x = 14,404.50 × 3,364.70
  4. Step 4: Simplify right side
    9,600.22x = 48,466,821.15
  5. Step 5: Solve for x
    x = 48,466,821.15/9,600.22
  6. Step 6: Final answer
    x = 5,048.51

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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.