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Finding the Fourth Proportional to 9,340.96, 12,891.12 and 5,149.60

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Solution

The fourth proportional to 9,340.96, 12,891.12 and 5,149.60 is: 7,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.96 : 12,891.12 = 5,149.60 : x
  2. Step 2: Convert to fraction form
    9,340.96/12,891.12 = 5,149.60/x
  3. Step 3: Cross multiply
    9,340.96x = 12,891.12 × 5,149.60
  4. Step 4: Simplify right side
    9,340.96x = 66,384,111.55
  5. Step 5: Solve for x
    x = 66,384,111.55/9,340.96
  6. Step 6: Final answer
    x = 7,106.78

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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.