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Finding the Fourth Proportional to 6,644.46, 9,966.29 and 2,748.77

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Solution

The fourth proportional to 6,644.46, 9,966.29 and 2,748.77 is: 4,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.46 : 9,966.29 = 2,748.77 : x
  2. Step 2: Convert to fraction form
    6,644.46/9,966.29 = 2,748.77/x
  3. Step 3: Cross multiply
    6,644.46x = 9,966.29 × 2,748.77
  4. Step 4: Simplify right side
    6,644.46x = 27,394,975.39
  5. Step 5: Solve for x
    x = 27,394,975.39/6,644.46
  6. Step 6: Final answer
    x = 4,122.98

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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.