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Finding the Fourth Proportional to 9,341.38, 12,891.10 and 5,149.72

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Solution

The fourth proportional to 9,341.38, 12,891.10 and 5,149.72 is: 7,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.38 : 12,891.10 = 5,149.72 : x
  2. Step 2: Convert to fraction form
    9,341.38/12,891.10 = 5,149.72/x
  3. Step 3: Cross multiply
    9,341.38x = 12,891.10 × 5,149.72
  4. Step 4: Simplify right side
    9,341.38x = 66,385,491.04
  5. Step 5: Solve for x
    x = 66,385,491.04/9,341.38
  6. Step 6: Final answer
    x = 7,106.61

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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.