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Finding the Fourth Proportional to 6,134.37, 9,199.65 and 3,211.08

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Solution

The fourth proportional to 6,134.37, 9,199.65 and 3,211.08 is: 4,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.37 : 9,199.65 = 3,211.08 : x
  2. Step 2: Convert to fraction form
    6,134.37/9,199.65 = 3,211.08/x
  3. Step 3: Cross multiply
    6,134.37x = 9,199.65 × 3,211.08
  4. Step 4: Simplify right side
    6,134.37x = 29,540,812.12
  5. Step 5: Solve for x
    x = 29,540,812.12/6,134.37
  6. Step 6: Final answer
    x = 4,815.62

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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.