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Finding the Fourth Proportional to 6,383.84, 9,575.75 and 2,001.63

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Solution

The fourth proportional to 6,383.84, 9,575.75 and 2,001.63 is: 3,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.84 : 9,575.75 = 2,001.63 : x
  2. Step 2: Convert to fraction form
    6,383.84/9,575.75 = 2,001.63/x
  3. Step 3: Cross multiply
    6,383.84x = 9,575.75 × 2,001.63
  4. Step 4: Simplify right side
    6,383.84x = 19,167,113.48
  5. Step 5: Solve for x
    x = 19,167,113.48/6,383.84
  6. Step 6: Final answer
    x = 3,002.45

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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.