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Finding the Fourth Proportional to 6,111.06, 9,165.76 and 1,728.87

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Solution

The fourth proportional to 6,111.06, 9,165.76 and 1,728.87 is: 2,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.06 : 9,165.76 = 1,728.87 : x
  2. Step 2: Convert to fraction form
    6,111.06/9,165.76 = 1,728.87/x
  3. Step 3: Cross multiply
    6,111.06x = 9,165.76 × 1,728.87
  4. Step 4: Simplify right side
    6,111.06x = 15,846,407.49
  5. Step 5: Solve for x
    x = 15,846,407.49/6,111.06
  6. Step 6: Final answer
    x = 2,593.07

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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.