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Finding the Fourth Proportional to 9,341, 12,890.62 and 5,149.16

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Solution

The fourth proportional to 9,341, 12,890.62 and 5,149.16 is: 7,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341 : 12,890.62 = 5,149.16 : x
  2. Step 2: Convert to fraction form
    9,341/12,890.62 = 5,149.16/x
  3. Step 3: Cross multiply
    9,341x = 12,890.62 × 5,149.16
  4. Step 4: Simplify right side
    9,341x = 66,375,864.88
  5. Step 5: Solve for x
    x = 66,375,864.88/9,341
  6. Step 6: Final answer
    x = 7,105.86

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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.