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Finding the Fourth Proportional to 6,162.94, 9,242.49 and 2,267.68

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Solution

The fourth proportional to 6,162.94, 9,242.49 and 2,267.68 is: 3,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.94 : 9,242.49 = 2,267.68 : x
  2. Step 2: Convert to fraction form
    6,162.94/9,242.49 = 2,267.68/x
  3. Step 3: Cross multiply
    6,162.94x = 9,242.49 × 2,267.68
  4. Step 4: Simplify right side
    6,162.94x = 20,959,009.72
  5. Step 5: Solve for x
    x = 20,959,009.72/6,162.94
  6. Step 6: Final answer
    x = 3,400.81

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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.