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Finding the Fourth Proportional to 6,162.61, 9,241.95 and 2,001.64

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Solution

The fourth proportional to 6,162.61, 9,241.95 and 2,001.64 is: 3,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.61 : 9,241.95 = 2,001.64 : x
  2. Step 2: Convert to fraction form
    6,162.61/9,241.95 = 2,001.64/x
  3. Step 3: Cross multiply
    6,162.61x = 9,241.95 × 2,001.64
  4. Step 4: Simplify right side
    6,162.61x = 18,499,000.58
  5. Step 5: Solve for x
    x = 18,499,000.58/6,162.61
  6. Step 6: Final answer
    x = 3,001.82

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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.