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Finding the Fourth Proportional to 6,644.70, 9,966.26 and 2,202.38

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Solution

The fourth proportional to 6,644.70, 9,966.26 and 2,202.38 is: 3,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.70 : 9,966.26 = 2,202.38 : x
  2. Step 2: Convert to fraction form
    6,644.70/9,966.26 = 2,202.38/x
  3. Step 3: Cross multiply
    6,644.70x = 9,966.26 × 2,202.38
  4. Step 4: Simplify right side
    6,644.70x = 21,949,491.70
  5. Step 5: Solve for x
    x = 21,949,491.70/6,644.70
  6. Step 6: Final answer
    x = 3,303.31

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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.