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Finding the Fourth Proportional to 9,644.66, 13,305.71 and 6,286.29

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Solution

The fourth proportional to 9,644.66, 13,305.71 and 6,286.29 is: 8,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.66 : 13,305.71 = 6,286.29 : x
  2. Step 2: Convert to fraction form
    9,644.66/13,305.71 = 6,286.29/x
  3. Step 3: Cross multiply
    9,644.66x = 13,305.71 × 6,286.29
  4. Step 4: Simplify right side
    9,644.66x = 83,643,520.28
  5. Step 5: Solve for x
    x = 83,643,520.28/9,644.66
  6. Step 6: Final answer
    x = 8,672.53

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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.