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Finding the Fourth Proportional to 6,644.30, 9,966.69 and 2,261.21

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Solution

The fourth proportional to 6,644.30, 9,966.69 and 2,261.21 is: 3,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.30 : 9,966.69 = 2,261.21 : x
  2. Step 2: Convert to fraction form
    6,644.30/9,966.69 = 2,261.21/x
  3. Step 3: Cross multiply
    6,644.30x = 9,966.69 × 2,261.21
  4. Step 4: Simplify right side
    6,644.30x = 22,536,729.26
  5. Step 5: Solve for x
    x = 22,536,729.26/6,644.30
  6. Step 6: Final answer
    x = 3,391.89

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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.