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Finding the Fourth Proportional to 6,161.39, 9,242.05 and 2,464.48

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Solution

The fourth proportional to 6,161.39, 9,242.05 and 2,464.48 is: 3,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.39 : 9,242.05 = 2,464.48 : x
  2. Step 2: Convert to fraction form
    6,161.39/9,242.05 = 2,464.48/x
  3. Step 3: Cross multiply
    6,161.39x = 9,242.05 × 2,464.48
  4. Step 4: Simplify right side
    6,161.39x = 22,776,805.41
  5. Step 5: Solve for x
    x = 22,776,805.41/6,161.39
  6. Step 6: Final answer
    x = 3,696.70

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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.