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Finding the Fourth Proportional to 6,467.08, 8,924.49 and 3,634.93

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Solution

The fourth proportional to 6,467.08, 8,924.49 and 3,634.93 is: 5,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.08 : 8,924.49 = 3,634.93 : x
  2. Step 2: Convert to fraction form
    6,467.08/8,924.49 = 3,634.93/x
  3. Step 3: Cross multiply
    6,467.08x = 8,924.49 × 3,634.93
  4. Step 4: Simplify right side
    6,467.08x = 32,439,896.44
  5. Step 5: Solve for x
    x = 32,439,896.44/6,467.08
  6. Step 6: Final answer
    x = 5,016.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.