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Finding the Fourth Proportional to 9,644.06, 13,310.63 and 5,667.37

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Solution

The fourth proportional to 9,644.06, 13,310.63 and 5,667.37 is: 7,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.06 : 13,310.63 = 5,667.37 : x
  2. Step 2: Convert to fraction form
    9,644.06/13,310.63 = 5,667.37/x
  3. Step 3: Cross multiply
    9,644.06x = 13,310.63 × 5,667.37
  4. Step 4: Simplify right side
    9,644.06x = 75,436,224.78
  5. Step 5: Solve for x
    x = 75,436,224.78/9,644.06
  6. Step 6: Final answer
    x = 7,822.04

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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.