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Finding the Fourth Proportional to 6,167.14, 9,239.94 and 5,133.79

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Solution

The fourth proportional to 6,167.14, 9,239.94 and 5,133.79 is: 7,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.14 : 9,239.94 = 5,133.79 : x
  2. Step 2: Convert to fraction form
    6,167.14/9,239.94 = 5,133.79/x
  3. Step 3: Cross multiply
    6,167.14x = 9,239.94 × 5,133.79
  4. Step 4: Simplify right side
    6,167.14x = 47,435,911.57
  5. Step 5: Solve for x
    x = 47,435,911.57/6,167.14
  6. Step 6: Final answer
    x = 7,691.72

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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.