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Finding the Fourth Proportional to 27,934.48, 41,892.82 and 9,211.02

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Solution

The fourth proportional to 27,934.48, 41,892.82 and 9,211.02 is: 13,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.48 : 41,892.82 = 9,211.02 : x
  2. Step 2: Convert to fraction form
    27,934.48/41,892.82 = 9,211.02/x
  3. Step 3: Cross multiply
    27,934.48x = 41,892.82 × 9,211.02
  4. Step 4: Simplify right side
    27,934.48x = 385,875,602.88
  5. Step 5: Solve for x
    x = 385,875,602.88/27,934.48
  6. Step 6: Final answer
    x = 13,813.60

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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.