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Finding the Fourth Proportional to 6,383.19, 9,575.84 and 1,999.61

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Solution

The fourth proportional to 6,383.19, 9,575.84 and 1,999.61 is: 2,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.19 : 9,575.84 = 1,999.61 : x
  2. Step 2: Convert to fraction form
    6,383.19/9,575.84 = 1,999.61/x
  3. Step 3: Cross multiply
    6,383.19x = 9,575.84 × 1,999.61
  4. Step 4: Simplify right side
    6,383.19x = 19,147,945.42
  5. Step 5: Solve for x
    x = 19,147,945.42/6,383.19
  6. Step 6: Final answer
    x = 2,999.75

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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.