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Finding the Fourth Proportional to 6,111.48, 9,167.22 and 1,728.58

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Solution

The fourth proportional to 6,111.48, 9,167.22 and 1,728.58 is: 2,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.48 : 9,167.22 = 1,728.58 : x
  2. Step 2: Convert to fraction form
    6,111.48/9,167.22 = 1,728.58/x
  3. Step 3: Cross multiply
    6,111.48x = 9,167.22 × 1,728.58
  4. Step 4: Simplify right side
    6,111.48x = 15,846,273.15
  5. Step 5: Solve for x
    x = 15,846,273.15/6,111.48
  6. Step 6: Final answer
    x = 2,592.87

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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.