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Finding the Fourth Proportional to 6,197.24, 9,297.08 and 2,734.52

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Solution

The fourth proportional to 6,197.24, 9,297.08 and 2,734.52 is: 4,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.24 : 9,297.08 = 2,734.52 : x
  2. Step 2: Convert to fraction form
    6,197.24/9,297.08 = 2,734.52/x
  3. Step 3: Cross multiply
    6,197.24x = 9,297.08 × 2,734.52
  4. Step 4: Simplify right side
    6,197.24x = 25,423,051.20
  5. Step 5: Solve for x
    x = 25,423,051.20/6,197.24
  6. Step 6: Final answer
    x = 4,102.32

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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.