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Finding the Fourth Proportional to 6,111.37, 9,165.75 and 1,727.65

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Solution

The fourth proportional to 6,111.37, 9,165.75 and 1,727.65 is: 2,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.37 : 9,165.75 = 1,727.65 : x
  2. Step 2: Convert to fraction form
    6,111.37/9,165.75 = 1,727.65/x
  3. Step 3: Cross multiply
    6,111.37x = 9,165.75 × 1,727.65
  4. Step 4: Simplify right side
    6,111.37x = 15,835,207.99
  5. Step 5: Solve for x
    x = 15,835,207.99/6,111.37
  6. Step 6: Final answer
    x = 2,591.11

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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.