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Finding the Fourth Proportional to 27,884.07, 41,817.46 and 9,411.75

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Solution

The fourth proportional to 27,884.07, 41,817.46 and 9,411.75 is: 14,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.07 : 41,817.46 = 9,411.75 : x
  2. Step 2: Convert to fraction form
    27,884.07/41,817.46 = 9,411.75/x
  3. Step 3: Cross multiply
    27,884.07x = 41,817.46 × 9,411.75
  4. Step 4: Simplify right side
    27,884.07x = 393,575,479.16
  5. Step 5: Solve for x
    x = 393,575,479.16/27,884.07
  6. Step 6: Final answer
    x = 14,114.71

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