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Finding the Fourth Proportional to 9,843.93, 14,767.11 and 3,999.78

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Solution

The fourth proportional to 9,843.93, 14,767.11 and 3,999.78 is: 6,000.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.93 : 14,767.11 = 3,999.78 : x
  2. Step 2: Convert to fraction form
    9,843.93/14,767.11 = 3,999.78/x
  3. Step 3: Cross multiply
    9,843.93x = 14,767.11 × 3,999.78
  4. Step 4: Simplify right side
    9,843.93x = 59,065,191.24
  5. Step 5: Solve for x
    x = 59,065,191.24/9,843.93
  6. Step 6: Final answer
    x = 6,000.16

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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.