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Finding the Fourth Proportional to 6,197.09, 9,298.82 and 4,118.52

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Solution

The fourth proportional to 6,197.09, 9,298.82 and 4,118.52 is: 6,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.09 : 9,298.82 = 4,118.52 : x
  2. Step 2: Convert to fraction form
    6,197.09/9,298.82 = 4,118.52/x
  3. Step 3: Cross multiply
    6,197.09x = 9,298.82 × 4,118.52
  4. Step 4: Simplify right side
    6,197.09x = 38,297,376.15
  5. Step 5: Solve for x
    x = 38,297,376.15/6,197.09
  6. Step 6: Final answer
    x = 6,179.90

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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.