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Finding the Fourth Proportional to 9,198.27, 13,797.44 and 2,272.77

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Solution

The fourth proportional to 9,198.27, 13,797.44 and 2,272.77 is: 3,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.27 : 13,797.44 = 2,272.77 : x
  2. Step 2: Convert to fraction form
    9,198.27/13,797.44 = 2,272.77/x
  3. Step 3: Cross multiply
    9,198.27x = 13,797.44 × 2,272.77
  4. Step 4: Simplify right side
    9,198.27x = 31,358,407.71
  5. Step 5: Solve for x
    x = 31,358,407.71/9,198.27
  6. Step 6: Final answer
    x = 3,409.16

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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.