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Finding the Fourth Proportional to 9,667.62, 14,506.29 and 7,207.38

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Solution

The fourth proportional to 9,667.62, 14,506.29 and 7,207.38 is: 10,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.62 : 14,506.29 = 7,207.38 : x
  2. Step 2: Convert to fraction form
    9,667.62/14,506.29 = 7,207.38/x
  3. Step 3: Cross multiply
    9,667.62x = 14,506.29 × 7,207.38
  4. Step 4: Simplify right side
    9,667.62x = 104,552,344.42
  5. Step 5: Solve for x
    x = 104,552,344.42/9,667.62
  6. Step 6: Final answer
    x = 10,814.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.