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Finding the Fourth Proportional to 6,197.44, 9,298.48 and 3,734

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Solution

The fourth proportional to 6,197.44, 9,298.48 and 3,734 is: 5,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.44 : 9,298.48 = 3,734 : x
  2. Step 2: Convert to fraction form
    6,197.44/9,298.48 = 3,734/x
  3. Step 3: Cross multiply
    6,197.44x = 9,298.48 × 3,734
  4. Step 4: Simplify right side
    6,197.44x = 34,720,524.32
  5. Step 5: Solve for x
    x = 34,720,524.32/6,197.44
  6. Step 6: Final answer
    x = 5,602.40

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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.