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Finding the Fourth Proportional to 6,116.18, 9,167.88 and 3,896.67

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Solution

The fourth proportional to 6,116.18, 9,167.88 and 3,896.67 is: 5,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.18 : 9,167.88 = 3,896.67 : x
  2. Step 2: Convert to fraction form
    6,116.18/9,167.88 = 3,896.67/x
  3. Step 3: Cross multiply
    6,116.18x = 9,167.88 × 3,896.67
  4. Step 4: Simplify right side
    6,116.18x = 35,724,251.95
  5. Step 5: Solve for x
    x = 35,724,251.95/6,116.18
  6. Step 6: Final answer
    x = 5,840.95

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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.