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Finding the Fourth Proportional to 9,022.71, 13,530.69 and 3,097.91

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Solution

The fourth proportional to 9,022.71, 13,530.69 and 3,097.91 is: 4,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.71 : 13,530.69 = 3,097.91 : x
  2. Step 2: Convert to fraction form
    9,022.71/13,530.69 = 3,097.91/x
  3. Step 3: Cross multiply
    9,022.71x = 13,530.69 × 3,097.91
  4. Step 4: Simplify right side
    9,022.71x = 41,916,846.92
  5. Step 5: Solve for x
    x = 41,916,846.92/9,022.71
  6. Step 6: Final answer
    x = 4,645.71

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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.