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Finding the Fourth Proportional to 6,138.20, 9,201.14 and 1,975.15

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Solution

The fourth proportional to 6,138.20, 9,201.14 and 1,975.15 is: 2,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.20 : 9,201.14 = 1,975.15 : x
  2. Step 2: Convert to fraction form
    6,138.20/9,201.14 = 1,975.15/x
  3. Step 3: Cross multiply
    6,138.20x = 9,201.14 × 1,975.15
  4. Step 4: Simplify right side
    6,138.20x = 18,173,640.70
  5. Step 5: Solve for x
    x = 18,173,640.70/6,138.20
  6. Step 6: Final answer
    x = 2,960.74

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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.