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Finding the Fourth Proportional to 6,150.54, 9,223.89 and 1,766.82

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Solution

The fourth proportional to 6,150.54, 9,223.89 and 1,766.82 is: 2,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.54 : 9,223.89 = 1,766.82 : x
  2. Step 2: Convert to fraction form
    6,150.54/9,223.89 = 1,766.82/x
  3. Step 3: Cross multiply
    6,150.54x = 9,223.89 × 1,766.82
  4. Step 4: Simplify right side
    6,150.54x = 16,296,953.33
  5. Step 5: Solve for x
    x = 16,296,953.33/6,150.54
  6. Step 6: Final answer
    x = 2,649.68

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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.