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Finding the Fourth Proportional to 9,843.86, 14,763.60 and 2,823.86

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Solution

The fourth proportional to 9,843.86, 14,763.60 and 2,823.86 is: 4,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.86 : 14,763.60 = 2,823.86 : x
  2. Step 2: Convert to fraction form
    9,843.86/14,763.60 = 2,823.86/x
  3. Step 3: Cross multiply
    9,843.86x = 14,763.60 × 2,823.86
  4. Step 4: Simplify right side
    9,843.86x = 41,690,265.68
  5. Step 5: Solve for x
    x = 41,690,265.68/9,843.86
  6. Step 6: Final answer
    x = 4,235.16

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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.