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Finding the Fourth Proportional to 6,639.70, 9,959.52 and 3,166.42

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Solution

The fourth proportional to 6,639.70, 9,959.52 and 3,166.42 is: 4,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639.70 : 9,959.52 = 3,166.42 : x
  2. Step 2: Convert to fraction form
    6,639.70/9,959.52 = 3,166.42/x
  3. Step 3: Cross multiply
    6,639.70x = 9,959.52 × 3,166.42
  4. Step 4: Simplify right side
    6,639.70x = 31,536,023.32
  5. Step 5: Solve for x
    x = 31,536,023.32/6,639.70
  6. Step 6: Final answer
    x = 4,749.62

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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.