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Finding the Fourth Proportional to 9,863.43, 14,795.28 and 2,843.57

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Solution

The fourth proportional to 9,863.43, 14,795.28 and 2,843.57 is: 4,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.43 : 14,795.28 = 2,843.57 : x
  2. Step 2: Convert to fraction form
    9,863.43/14,795.28 = 2,843.57/x
  3. Step 3: Cross multiply
    9,863.43x = 14,795.28 × 2,843.57
  4. Step 4: Simplify right side
    9,863.43x = 42,071,340.37
  5. Step 5: Solve for x
    x = 42,071,340.37/9,863.43
  6. Step 6: Final answer
    x = 4,265.39

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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.