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Finding the Fourth Proportional to 6,214.44, 9,322.74 and 3,616.68

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Solution

The fourth proportional to 6,214.44, 9,322.74 and 3,616.68 is: 5,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.44 : 9,322.74 = 3,616.68 : x
  2. Step 2: Convert to fraction form
    6,214.44/9,322.74 = 3,616.68/x
  3. Step 3: Cross multiply
    6,214.44x = 9,322.74 × 3,616.68
  4. Step 4: Simplify right side
    6,214.44x = 33,717,367.30
  5. Step 5: Solve for x
    x = 33,717,367.30/6,214.44
  6. Step 6: Final answer
    x = 5,425.65

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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.