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Finding the Fourth Proportional to 27,934.71, 41,893.11 and 9,210.54

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Solution

The fourth proportional to 27,934.71, 41,893.11 and 9,210.54 is: 13,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.71 : 41,893.11 = 9,210.54 : x
  2. Step 2: Convert to fraction form
    27,934.71/41,893.11 = 9,210.54/x
  3. Step 3: Cross multiply
    27,934.71x = 41,893.11 × 9,210.54
  4. Step 4: Simplify right side
    27,934.71x = 385,858,165.38
  5. Step 5: Solve for x
    x = 385,858,165.38/27,934.71
  6. Step 6: Final answer
    x = 13,812.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.