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Finding the Fourth Proportional to 9,161.81, 13,743.48 and 2,922.71

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Solution

The fourth proportional to 9,161.81, 13,743.48 and 2,922.71 is: 4,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.81 : 13,743.48 = 2,922.71 : x
  2. Step 2: Convert to fraction form
    9,161.81/13,743.48 = 2,922.71/x
  3. Step 3: Cross multiply
    9,161.81x = 13,743.48 × 2,922.71
  4. Step 4: Simplify right side
    9,161.81x = 40,168,137.71
  5. Step 5: Solve for x
    x = 40,168,137.71/9,161.81
  6. Step 6: Final answer
    x = 4,384.30

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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.