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Finding the Fourth Proportional to 6,161.06, 9,241.46 and 2,001.06

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Solution

The fourth proportional to 6,161.06, 9,241.46 and 2,001.06 is: 3,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.06 : 9,241.46 = 2,001.06 : x
  2. Step 2: Convert to fraction form
    6,161.06/9,241.46 = 2,001.06/x
  3. Step 3: Cross multiply
    6,161.06x = 9,241.46 × 2,001.06
  4. Step 4: Simplify right side
    6,161.06x = 18,492,715.95
  5. Step 5: Solve for x
    x = 18,492,715.95/6,161.06
  6. Step 6: Final answer
    x = 3,001.55

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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.