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Finding the Fourth Proportional to 9,843.42, 14,764.50 and 3,999.87

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Solution

The fourth proportional to 9,843.42, 14,764.50 and 3,999.87 is: 5,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.42 : 14,764.50 = 3,999.87 : x
  2. Step 2: Convert to fraction form
    9,843.42/14,764.50 = 3,999.87/x
  3. Step 3: Cross multiply
    9,843.42x = 14,764.50 × 3,999.87
  4. Step 4: Simplify right side
    9,843.42x = 59,056,080.62
  5. Step 5: Solve for x
    x = 59,056,080.62/9,843.42
  6. Step 6: Final answer
    x = 5,999.55

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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.