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Finding the Fourth Proportional to 9,891.43, 14,837.29 and 3,227.90

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Solution

The fourth proportional to 9,891.43, 14,837.29 and 3,227.90 is: 4,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.43 : 14,837.29 = 3,227.90 : x
  2. Step 2: Convert to fraction form
    9,891.43/14,837.29 = 3,227.90/x
  3. Step 3: Cross multiply
    9,891.43x = 14,837.29 × 3,227.90
  4. Step 4: Simplify right side
    9,891.43x = 47,893,214.20
  5. Step 5: Solve for x
    x = 47,893,214.20/9,891.43
  6. Step 6: Final answer
    x = 4,841.89

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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.