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Finding the Fourth Proportional to 6,143.56, 9,196.98 and 3,764.15

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Solution

The fourth proportional to 6,143.56, 9,196.98 and 3,764.15 is: 5,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.56 : 9,196.98 = 3,764.15 : x
  2. Step 2: Convert to fraction form
    6,143.56/9,196.98 = 3,764.15/x
  3. Step 3: Cross multiply
    6,143.56x = 9,196.98 × 3,764.15
  4. Step 4: Simplify right side
    6,143.56x = 34,618,812.27
  5. Step 5: Solve for x
    x = 34,618,812.27/6,143.56
  6. Step 6: Final answer
    x = 5,634.98

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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.