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Finding the Fourth Proportional to 6,422.15, 9,633.86 and 1,742.24

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Solution

The fourth proportional to 6,422.15, 9,633.86 and 1,742.24 is: 2,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.15 : 9,633.86 = 1,742.24 : x
  2. Step 2: Convert to fraction form
    6,422.15/9,633.86 = 1,742.24/x
  3. Step 3: Cross multiply
    6,422.15x = 9,633.86 × 1,742.24
  4. Step 4: Simplify right side
    6,422.15x = 16,784,452.43
  5. Step 5: Solve for x
    x = 16,784,452.43/6,422.15
  6. Step 6: Final answer
    x = 2,613.53

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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.