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Finding the Fourth Proportional to 6,838.63, 9,436.91 and 3,854.61

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Solution

The fourth proportional to 6,838.63, 9,436.91 and 3,854.61 is: 5,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.63 : 9,436.91 = 3,854.61 : x
  2. Step 2: Convert to fraction form
    6,838.63/9,436.91 = 3,854.61/x
  3. Step 3: Cross multiply
    6,838.63x = 9,436.91 × 3,854.61
  4. Step 4: Simplify right side
    6,838.63x = 36,375,588.38
  5. Step 5: Solve for x
    x = 36,375,588.38/6,838.63
  6. Step 6: Final answer
    x = 5,319.14

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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.