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Finding the Fourth Proportional to 9,887.40, 13,644.94 and 5,639.09

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Solution

The fourth proportional to 9,887.40, 13,644.94 and 5,639.09 is: 7,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.40 : 13,644.94 = 5,639.09 : x
  2. Step 2: Convert to fraction form
    9,887.40/13,644.94 = 5,639.09/x
  3. Step 3: Cross multiply
    9,887.40x = 13,644.94 × 5,639.09
  4. Step 4: Simplify right side
    9,887.40x = 76,944,972.96
  5. Step 5: Solve for x
    x = 76,944,972.96/9,887.40
  6. Step 6: Final answer
    x = 7,782.12

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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.