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Finding the Fourth Proportional to 6,111.93, 9,165.16 and 1,728.36

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Solution

The fourth proportional to 6,111.93, 9,165.16 and 1,728.36 is: 2,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.93 : 9,165.16 = 1,728.36 : x
  2. Step 2: Convert to fraction form
    6,111.93/9,165.16 = 1,728.36/x
  3. Step 3: Cross multiply
    6,111.93x = 9,165.16 × 1,728.36
  4. Step 4: Simplify right side
    6,111.93x = 15,840,695.94
  5. Step 5: Solve for x
    x = 15,840,695.94/6,111.93
  6. Step 6: Final answer
    x = 2,591.77

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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.