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Finding the Fourth Proportional to 6,143.36, 9,211.76 and 2,194

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Solution

The fourth proportional to 6,143.36, 9,211.76 and 2,194 is: 3,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.36 : 9,211.76 = 2,194 : x
  2. Step 2: Convert to fraction form
    6,143.36/9,211.76 = 2,194/x
  3. Step 3: Cross multiply
    6,143.36x = 9,211.76 × 2,194
  4. Step 4: Simplify right side
    6,143.36x = 20,210,601.44
  5. Step 5: Solve for x
    x = 20,210,601.44/6,143.36
  6. Step 6: Final answer
    x = 3,289.83

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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.