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Finding the Fourth Proportional to 8,814.92, 12,164.92 and 5,231.74

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Solution

The fourth proportional to 8,814.92, 12,164.92 and 5,231.74 is: 7,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.92 : 12,164.92 = 5,231.74 : x
  2. Step 2: Convert to fraction form
    8,814.92/12,164.92 = 5,231.74/x
  3. Step 3: Cross multiply
    8,814.92x = 12,164.92 × 5,231.74
  4. Step 4: Simplify right side
    8,814.92x = 63,643,611.58
  5. Step 5: Solve for x
    x = 63,643,611.58/8,814.92
  6. Step 6: Final answer
    x = 7,219.99

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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.