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Finding the Fourth Proportional to 6,142.18, 9,196.86 and 4,794.44

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Solution

The fourth proportional to 6,142.18, 9,196.86 and 4,794.44 is: 7,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.18 : 9,196.86 = 4,794.44 : x
  2. Step 2: Convert to fraction form
    6,142.18/9,196.86 = 4,794.44/x
  3. Step 3: Cross multiply
    6,142.18x = 9,196.86 × 4,794.44
  4. Step 4: Simplify right side
    6,142.18x = 44,093,793.46
  5. Step 5: Solve for x
    x = 44,093,793.46/6,142.18
  6. Step 6: Final answer
    x = 7,178.85

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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.