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Finding the Fourth Proportional to 8,919.38, 12,314.23 and 6,399.47

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Solution

The fourth proportional to 8,919.38, 12,314.23 and 6,399.47 is: 8,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.38 : 12,314.23 = 6,399.47 : x
  2. Step 2: Convert to fraction form
    8,919.38/12,314.23 = 6,399.47/x
  3. Step 3: Cross multiply
    8,919.38x = 12,314.23 × 6,399.47
  4. Step 4: Simplify right side
    8,919.38x = 78,804,560.24
  5. Step 5: Solve for x
    x = 78,804,560.24/8,919.38
  6. Step 6: Final answer
    x = 8,835.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.