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Finding the Fourth Proportional to 8,919.91, 12,308.22 and 5,142.78

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Solution

The fourth proportional to 8,919.91, 12,308.22 and 5,142.78 is: 7,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.91 : 12,308.22 = 5,142.78 : x
  2. Step 2: Convert to fraction form
    8,919.91/12,308.22 = 5,142.78/x
  3. Step 3: Cross multiply
    8,919.91x = 12,308.22 × 5,142.78
  4. Step 4: Simplify right side
    8,919.91x = 63,298,467.65
  5. Step 5: Solve for x
    x = 63,298,467.65/8,919.91
  6. Step 6: Final answer
    x = 7,096.31

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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.