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Finding the Fourth Proportional to 9,147.70, 13,716.39 and 2,906.56

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Solution

The fourth proportional to 9,147.70, 13,716.39 and 2,906.56 is: 4,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.70 : 13,716.39 = 2,906.56 : x
  2. Step 2: Convert to fraction form
    9,147.70/13,716.39 = 2,906.56/x
  3. Step 3: Cross multiply
    9,147.70x = 13,716.39 × 2,906.56
  4. Step 4: Simplify right side
    9,147.70x = 39,867,510.52
  5. Step 5: Solve for x
    x = 39,867,510.52/9,147.70
  6. Step 6: Final answer
    x = 4,358.20

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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.