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Finding the Fourth Proportional to 6,138.20, 9,211.98 and 4,498.94

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Solution

The fourth proportional to 6,138.20, 9,211.98 and 4,498.94 is: 6,751.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.20 : 9,211.98 = 4,498.94 : x
  2. Step 2: Convert to fraction form
    6,138.20/9,211.98 = 4,498.94/x
  3. Step 3: Cross multiply
    6,138.20x = 9,211.98 × 4,498.94
  4. Step 4: Simplify right side
    6,138.20x = 41,444,145.30
  5. Step 5: Solve for x
    x = 41,444,145.30/6,138.20
  6. Step 6: Final answer
    x = 6,751.84

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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.