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Finding the Fourth Proportional to 9,178.68, 12,667.28 and 5,199.69

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Solution

The fourth proportional to 9,178.68, 12,667.28 and 5,199.69 is: 7,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.68 : 12,667.28 = 5,199.69 : x
  2. Step 2: Convert to fraction form
    9,178.68/12,667.28 = 5,199.69/x
  3. Step 3: Cross multiply
    9,178.68x = 12,667.28 × 5,199.69
  4. Step 4: Simplify right side
    9,178.68x = 65,865,929.14
  5. Step 5: Solve for x
    x = 65,865,929.14/9,178.68
  6. Step 6: Final answer
    x = 7,175.97

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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.