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Finding the Fourth Proportional to 9,843.64, 14,765.62 and 3,999

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Solution

The fourth proportional to 9,843.64, 14,765.62 and 3,999 is: 5,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.64 : 14,765.62 = 3,999 : x
  2. Step 2: Convert to fraction form
    9,843.64/14,765.62 = 3,999/x
  3. Step 3: Cross multiply
    9,843.64x = 14,765.62 × 3,999
  4. Step 4: Simplify right side
    9,843.64x = 59,047,714.38
  5. Step 5: Solve for x
    x = 59,047,714.38/9,843.64
  6. Step 6: Final answer
    x = 5,998.57

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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.