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Finding the Fourth Proportional to 9,841.38, 14,763.51 and 3,996.78

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Solution

The fourth proportional to 9,841.38, 14,763.51 and 3,996.78 is: 5,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.38 : 14,763.51 = 3,996.78 : x
  2. Step 2: Convert to fraction form
    9,841.38/14,763.51 = 3,996.78/x
  3. Step 3: Cross multiply
    9,841.38x = 14,763.51 × 3,996.78
  4. Step 4: Simplify right side
    9,841.38x = 59,006,501.50
  5. Step 5: Solve for x
    x = 59,006,501.50/9,841.38
  6. Step 6: Final answer
    x = 5,995.75

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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.