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Finding the Fourth Proportional to 6,160.14, 9,241.65 and 2,000.16

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Solution

The fourth proportional to 6,160.14, 9,241.65 and 2,000.16 is: 3,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.14 : 9,241.65 = 2,000.16 : x
  2. Step 2: Convert to fraction form
    6,160.14/9,241.65 = 2,000.16/x
  3. Step 3: Cross multiply
    6,160.14x = 9,241.65 × 2,000.16
  4. Step 4: Simplify right side
    6,160.14x = 18,484,778.66
  5. Step 5: Solve for x
    x = 18,484,778.66/6,160.14
  6. Step 6: Final answer
    x = 3,000.71

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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.