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Finding the Fourth Proportional to 6,468.24, 8,926.05 and 3,635.65

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Solution

The fourth proportional to 6,468.24, 8,926.05 and 3,635.65 is: 5,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.24 : 8,926.05 = 3,635.65 : x
  2. Step 2: Convert to fraction form
    6,468.24/8,926.05 = 3,635.65/x
  3. Step 3: Cross multiply
    6,468.24x = 8,926.05 × 3,635.65
  4. Step 4: Simplify right side
    6,468.24x = 32,451,993.68
  5. Step 5: Solve for x
    x = 32,451,993.68/6,468.24
  6. Step 6: Final answer
    x = 5,017.13

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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.