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Finding the Fourth Proportional to 6,383.86, 9,575.78 and 2,001.31

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Solution

The fourth proportional to 6,383.86, 9,575.78 and 2,001.31 is: 3,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.86 : 9,575.78 = 2,001.31 : x
  2. Step 2: Convert to fraction form
    6,383.86/9,575.78 = 2,001.31/x
  3. Step 3: Cross multiply
    6,383.86x = 9,575.78 × 2,001.31
  4. Step 4: Simplify right side
    6,383.86x = 19,164,070.33
  5. Step 5: Solve for x
    x = 19,164,070.33/6,383.86
  6. Step 6: Final answer
    x = 3,001.96

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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.