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Finding the Fourth Proportional to 9,180.54, 13,760.82 and 4,242.78

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Solution

The fourth proportional to 9,180.54, 13,760.82 and 4,242.78 is: 6,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.54 : 13,760.82 = 4,242.78 : x
  2. Step 2: Convert to fraction form
    9,180.54/13,760.82 = 4,242.78/x
  3. Step 3: Cross multiply
    9,180.54x = 13,760.82 × 4,242.78
  4. Step 4: Simplify right side
    9,180.54x = 58,384,131.88
  5. Step 5: Solve for x
    x = 58,384,131.88/9,180.54
  6. Step 6: Final answer
    x = 6,359.55

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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.