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Finding the Fourth Proportional to 9,644.67, 13,318.83 and 6,116.31

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Solution

The fourth proportional to 9,644.67, 13,318.83 and 6,116.31 is: 8,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.67 : 13,318.83 = 6,116.31 : x
  2. Step 2: Convert to fraction form
    9,644.67/13,318.83 = 6,116.31/x
  3. Step 3: Cross multiply
    9,644.67x = 13,318.83 × 6,116.31
  4. Step 4: Simplify right side
    9,644.67x = 81,462,093.12
  5. Step 5: Solve for x
    x = 81,462,093.12/9,644.67
  6. Step 6: Final answer
    x = 8,446.33

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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.