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Finding the Fourth Proportional to 6,644.94, 9,964.89 and 2,261.58

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Solution

The fourth proportional to 6,644.94, 9,964.89 and 2,261.58 is: 3,391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.94 : 9,964.89 = 2,261.58 : x
  2. Step 2: Convert to fraction form
    6,644.94/9,964.89 = 2,261.58/x
  3. Step 3: Cross multiply
    6,644.94x = 9,964.89 × 2,261.58
  4. Step 4: Simplify right side
    6,644.94x = 22,536,395.93
  5. Step 5: Solve for x
    x = 22,536,395.93/6,644.94
  6. Step 6: Final answer
    x = 3,391.51

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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.