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Finding the Fourth Proportional to 6,093.49, 9,132.87 and 2,968.81

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Solution

The fourth proportional to 6,093.49, 9,132.87 and 2,968.81 is: 4,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.49 : 9,132.87 = 2,968.81 : x
  2. Step 2: Convert to fraction form
    6,093.49/9,132.87 = 2,968.81/x
  3. Step 3: Cross multiply
    6,093.49x = 9,132.87 × 2,968.81
  4. Step 4: Simplify right side
    6,093.49x = 27,113,755.78
  5. Step 5: Solve for x
    x = 27,113,755.78/6,093.49
  6. Step 6: Final answer
    x = 4,449.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.