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Finding the Fourth Proportional to 9,296.01, 13,939.70 and 5,401.53

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Solution

The fourth proportional to 9,296.01, 13,939.70 and 5,401.53 is: 8,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.01 : 13,939.70 = 5,401.53 : x
  2. Step 2: Convert to fraction form
    9,296.01/13,939.70 = 5,401.53/x
  3. Step 3: Cross multiply
    9,296.01x = 13,939.70 × 5,401.53
  4. Step 4: Simplify right side
    9,296.01x = 75,295,680.73
  5. Step 5: Solve for x
    x = 75,295,680.73/9,296.01
  6. Step 6: Final answer
    x = 8,099.78

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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.