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Finding the Fourth Proportional to 6,111.32, 9,165.90 and 1,728.68

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Solution

The fourth proportional to 6,111.32, 9,165.90 and 1,728.68 is: 2,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.32 : 9,165.90 = 1,728.68 : x
  2. Step 2: Convert to fraction form
    6,111.32/9,165.90 = 1,728.68/x
  3. Step 3: Cross multiply
    6,111.32x = 9,165.90 × 1,728.68
  4. Step 4: Simplify right side
    6,111.32x = 15,844,908.01
  5. Step 5: Solve for x
    x = 15,844,908.01/6,111.32
  6. Step 6: Final answer
    x = 2,592.71

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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.