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Finding the Fourth Proportional to 6,659.46, 9,189.15 and 3,826.62

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Solution

The fourth proportional to 6,659.46, 9,189.15 and 3,826.62 is: 5,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.46 : 9,189.15 = 3,826.62 : x
  2. Step 2: Convert to fraction form
    6,659.46/9,189.15 = 3,826.62/x
  3. Step 3: Cross multiply
    6,659.46x = 9,189.15 × 3,826.62
  4. Step 4: Simplify right side
    6,659.46x = 35,163,385.17
  5. Step 5: Solve for x
    x = 35,163,385.17/6,659.46
  6. Step 6: Final answer
    x = 5,280.22

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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.