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Finding the Fourth Proportional to 6,161.07, 9,241.61 and 1,544.07

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Solution

The fourth proportional to 6,161.07, 9,241.61 and 1,544.07 is: 2,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.07 : 9,241.61 = 1,544.07 : x
  2. Step 2: Convert to fraction form
    6,161.07/9,241.61 = 1,544.07/x
  3. Step 3: Cross multiply
    6,161.07x = 9,241.61 × 1,544.07
  4. Step 4: Simplify right side
    6,161.07x = 14,269,685.03
  5. Step 5: Solve for x
    x = 14,269,685.03/6,161.07
  6. Step 6: Final answer
    x = 2,316.11

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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.