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Finding the Fourth Proportional to 6,464.88, 8,921.34 and 3,632.27

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Solution

The fourth proportional to 6,464.88, 8,921.34 and 3,632.27 is: 5,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.88 : 8,921.34 = 3,632.27 : x
  2. Step 2: Convert to fraction form
    6,464.88/8,921.34 = 3,632.27/x
  3. Step 3: Cross multiply
    6,464.88x = 8,921.34 × 3,632.27
  4. Step 4: Simplify right side
    6,464.88x = 32,404,671.04
  5. Step 5: Solve for x
    x = 32,404,671.04/6,464.88
  6. Step 6: Final answer
    x = 5,012.42

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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.