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Finding the Fourth Proportional to 6,419.25, 9,632.93 and 2,523.56

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Solution

The fourth proportional to 6,419.25, 9,632.93 and 2,523.56 is: 3,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.25 : 9,632.93 = 2,523.56 : x
  2. Step 2: Convert to fraction form
    6,419.25/9,632.93 = 2,523.56/x
  3. Step 3: Cross multiply
    6,419.25x = 9,632.93 × 2,523.56
  4. Step 4: Simplify right side
    6,419.25x = 24,309,216.05
  5. Step 5: Solve for x
    x = 24,309,216.05/6,419.25
  6. Step 6: Final answer
    x = 3,786.92

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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.