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Finding the Fourth Proportional to 6,644.20, 9,966.30 and 5,261.80

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Solution

The fourth proportional to 6,644.20, 9,966.30 and 5,261.80 is: 7,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.20 : 9,966.30 = 5,261.80 : x
  2. Step 2: Convert to fraction form
    6,644.20/9,966.30 = 5,261.80/x
  3. Step 3: Cross multiply
    6,644.20x = 9,966.30 × 5,261.80
  4. Step 4: Simplify right side
    6,644.20x = 52,440,677.34
  5. Step 5: Solve for x
    x = 52,440,677.34/6,644.20
  6. Step 6: Final answer
    x = 7,892.70

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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.