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Finding the Fourth Proportional to 6,383.70, 9,575.82 and 2,001.20

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Solution

The fourth proportional to 6,383.70, 9,575.82 and 2,001.20 is: 3,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.70 : 9,575.82 = 2,001.20 : x
  2. Step 2: Convert to fraction form
    6,383.70/9,575.82 = 2,001.20/x
  3. Step 3: Cross multiply
    6,383.70x = 9,575.82 × 2,001.20
  4. Step 4: Simplify right side
    6,383.70x = 19,163,083.10
  5. Step 5: Solve for x
    x = 19,163,083.10/6,383.70
  6. Step 6: Final answer
    x = 3,001.88

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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.