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Finding the Fourth Proportional to 6,383.95, 9,575.92 and 2,001.44

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Solution

The fourth proportional to 6,383.95, 9,575.92 and 2,001.44 is: 3,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.95 : 9,575.92 = 2,001.44 : x
  2. Step 2: Convert to fraction form
    6,383.95/9,575.92 = 2,001.44/x
  3. Step 3: Cross multiply
    6,383.95x = 9,575.92 × 2,001.44
  4. Step 4: Simplify right side
    6,383.95x = 19,165,655.77
  5. Step 5: Solve for x
    x = 19,165,655.77/6,383.95
  6. Step 6: Final answer
    x = 3,002.16

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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.