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Finding the Fourth Proportional to 9,106.71, 13,659.66 and 2,443.22

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Solution

The fourth proportional to 9,106.71, 13,659.66 and 2,443.22 is: 3,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.71 : 13,659.66 = 2,443.22 : x
  2. Step 2: Convert to fraction form
    9,106.71/13,659.66 = 2,443.22/x
  3. Step 3: Cross multiply
    9,106.71x = 13,659.66 × 2,443.22
  4. Step 4: Simplify right side
    9,106.71x = 33,373,486.21
  5. Step 5: Solve for x
    x = 33,373,486.21/9,106.71
  6. Step 6: Final answer
    x = 3,664.71

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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.