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Finding the Fourth Proportional to 6,131.42, 9,194.42 and 1,747.88

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Solution

The fourth proportional to 6,131.42, 9,194.42 and 1,747.88 is: 2,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.42 : 9,194.42 = 1,747.88 : x
  2. Step 2: Convert to fraction form
    6,131.42/9,194.42 = 1,747.88/x
  3. Step 3: Cross multiply
    6,131.42x = 9,194.42 × 1,747.88
  4. Step 4: Simplify right side
    6,131.42x = 16,070,742.83
  5. Step 5: Solve for x
    x = 16,070,742.83/6,131.42
  6. Step 6: Final answer
    x = 2,621.05

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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.