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Finding the Fourth Proportional to 6,744.78, 9,307.30 and 3,760.78

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Solution

The fourth proportional to 6,744.78, 9,307.30 and 3,760.78 is: 5,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.78 : 9,307.30 = 3,760.78 : x
  2. Step 2: Convert to fraction form
    6,744.78/9,307.30 = 3,760.78/x
  3. Step 3: Cross multiply
    6,744.78x = 9,307.30 × 3,760.78
  4. Step 4: Simplify right side
    6,744.78x = 35,002,707.69
  5. Step 5: Solve for x
    x = 35,002,707.69/6,744.78
  6. Step 6: Final answer
    x = 5,189.60

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