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Finding the Fourth Proportional to 6,744.87, 9,307.94 and 3,760.63

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Solution

The fourth proportional to 6,744.87, 9,307.94 and 3,760.63 is: 5,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.87 : 9,307.94 = 3,760.63 : x
  2. Step 2: Convert to fraction form
    6,744.87/9,307.94 = 3,760.63/x
  3. Step 3: Cross multiply
    6,744.87x = 9,307.94 × 3,760.63
  4. Step 4: Simplify right side
    6,744.87x = 35,003,704.53
  5. Step 5: Solve for x
    x = 35,003,704.53/6,744.87
  6. Step 6: Final answer
    x = 5,189.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.