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Finding the Fourth Proportional to 9,801.39, 14,704.29 and 3,227.34

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Solution

The fourth proportional to 9,801.39, 14,704.29 and 3,227.34 is: 4,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.39 : 14,704.29 = 3,227.34 : x
  2. Step 2: Convert to fraction form
    9,801.39/14,704.29 = 3,227.34/x
  3. Step 3: Cross multiply
    9,801.39x = 14,704.29 × 3,227.34
  4. Step 4: Simplify right side
    9,801.39x = 47,455,743.29
  5. Step 5: Solve for x
    x = 47,455,743.29/9,801.39
  6. Step 6: Final answer
    x = 4,841.74

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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.