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Finding the Fourth Proportional to 8,389.72, 12,557.19 and 6,167.96

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Solution

The fourth proportional to 8,389.72, 12,557.19 and 6,167.96 is: 9,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.72 : 12,557.19 = 6,167.96 : x
  2. Step 2: Convert to fraction form
    8,389.72/12,557.19 = 6,167.96/x
  3. Step 3: Cross multiply
    8,389.72x = 12,557.19 × 6,167.96
  4. Step 4: Simplify right side
    8,389.72x = 77,452,323.70
  5. Step 5: Solve for x
    x = 77,452,323.70/8,389.72
  6. Step 6: Final answer
    x = 9,231.81

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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.