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Finding the Fourth Proportional to 9,667.52, 13,343.68 and 5,944.64

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Solution

The fourth proportional to 9,667.52, 13,343.68 and 5,944.64 is: 8,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.52 : 13,343.68 = 5,944.64 : x
  2. Step 2: Convert to fraction form
    9,667.52/13,343.68 = 5,944.64/x
  3. Step 3: Cross multiply
    9,667.52x = 13,343.68 × 5,944.64
  4. Step 4: Simplify right side
    9,667.52x = 79,323,373.88
  5. Step 5: Solve for x
    x = 79,323,373.88/9,667.52
  6. Step 6: Final answer
    x = 8,205.14

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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.