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Finding the Fourth Proportional to 6,840.28, 9,438.87 and 3,856.57

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Solution

The fourth proportional to 6,840.28, 9,438.87 and 3,856.57 is: 5,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.28 : 9,438.87 = 3,856.57 : x
  2. Step 2: Convert to fraction form
    6,840.28/9,438.87 = 3,856.57/x
  3. Step 3: Cross multiply
    6,840.28x = 9,438.87 × 3,856.57
  4. Step 4: Simplify right side
    6,840.28x = 36,401,662.88
  5. Step 5: Solve for x
    x = 36,401,662.88/6,840.28
  6. Step 6: Final answer
    x = 5,321.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.