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Finding the Fourth Proportional to 9,644.11, 13,314.68 and 6,292.73

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Solution

The fourth proportional to 9,644.11, 13,314.68 and 6,292.73 is: 8,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.11 : 13,314.68 = 6,292.73 : x
  2. Step 2: Convert to fraction form
    9,644.11/13,314.68 = 6,292.73/x
  3. Step 3: Cross multiply
    9,644.11x = 13,314.68 × 6,292.73
  4. Step 4: Simplify right side
    9,644.11x = 83,785,654.81
  5. Step 5: Solve for x
    x = 83,785,654.81/9,644.11
  6. Step 6: Final answer
    x = 8,687.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.