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Finding the Fourth Proportional to 6,467.09, 8,924.04 and 3,634.07

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Solution

The fourth proportional to 6,467.09, 8,924.04 and 3,634.07 is: 5,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.09 : 8,924.04 = 3,634.07 : x
  2. Step 2: Convert to fraction form
    6,467.09/8,924.04 = 3,634.07/x
  3. Step 3: Cross multiply
    6,467.09x = 8,924.04 × 3,634.07
  4. Step 4: Simplify right side
    6,467.09x = 32,430,541.42
  5. Step 5: Solve for x
    x = 32,430,541.42/6,467.09
  6. Step 6: Final answer
    x = 5,014.71

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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.