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Finding the Fourth Proportional to 9,296.47, 13,943.68 and 2,722.72

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Solution

The fourth proportional to 9,296.47, 13,943.68 and 2,722.72 is: 4,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.47 : 13,943.68 = 2,722.72 : x
  2. Step 2: Convert to fraction form
    9,296.47/13,943.68 = 2,722.72/x
  3. Step 3: Cross multiply
    9,296.47x = 13,943.68 × 2,722.72
  4. Step 4: Simplify right side
    9,296.47x = 37,964,736.41
  5. Step 5: Solve for x
    x = 37,964,736.41/9,296.47
  6. Step 6: Final answer
    x = 4,083.78

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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.