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Finding the Fourth Proportional to 9,226.71, 13,841.28 and 3,382.56

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Solution

The fourth proportional to 9,226.71, 13,841.28 and 3,382.56 is: 5,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.71 : 13,841.28 = 3,382.56 : x
  2. Step 2: Convert to fraction form
    9,226.71/13,841.28 = 3,382.56/x
  3. Step 3: Cross multiply
    9,226.71x = 13,841.28 × 3,382.56
  4. Step 4: Simplify right side
    9,226.71x = 46,818,960.08
  5. Step 5: Solve for x
    x = 46,818,960.08/9,226.71
  6. Step 6: Final answer
    x = 5,074.29

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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.