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Finding the Fourth Proportional to 6,100.62, 9,152.36 and 3,137.94

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Solution

The fourth proportional to 6,100.62, 9,152.36 and 3,137.94 is: 4,707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.62 : 9,152.36 = 3,137.94 : x
  2. Step 2: Convert to fraction form
    6,100.62/9,152.36 = 3,137.94/x
  3. Step 3: Cross multiply
    6,100.62x = 9,152.36 × 3,137.94
  4. Step 4: Simplify right side
    6,100.62x = 28,719,556.54
  5. Step 5: Solve for x
    x = 28,719,556.54/6,100.62
  6. Step 6: Final answer
    x = 4,707.65

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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.