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Finding the Fourth Proportional to 6,424.44, 9,630.09 and 3,645.24

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Solution

The fourth proportional to 6,424.44, 9,630.09 and 3,645.24 is: 5,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.44 : 9,630.09 = 3,645.24 : x
  2. Step 2: Convert to fraction form
    6,424.44/9,630.09 = 3,645.24/x
  3. Step 3: Cross multiply
    6,424.44x = 9,630.09 × 3,645.24
  4. Step 4: Simplify right side
    6,424.44x = 35,103,963.32
  5. Step 5: Solve for x
    x = 35,103,963.32/6,424.44
  6. Step 6: Final answer
    x = 5,464.13

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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.