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Finding the Fourth Proportional to 6,441.86, 9,646.27 and 4,464.68

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Solution

The fourth proportional to 6,441.86, 9,646.27 and 4,464.68 is: 6,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.86 : 9,646.27 = 4,464.68 : x
  2. Step 2: Convert to fraction form
    6,441.86/9,646.27 = 4,464.68/x
  3. Step 3: Cross multiply
    6,441.86x = 9,646.27 × 4,464.68
  4. Step 4: Simplify right side
    6,441.86x = 43,067,449.35
  5. Step 5: Solve for x
    x = 43,067,449.35/6,441.86
  6. Step 6: Final answer
    x = 6,685.56

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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.