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Finding the Fourth Proportional to 9,021.74, 13,529.14 and 3,097.52

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Solution

The fourth proportional to 9,021.74, 13,529.14 and 3,097.52 is: 4,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.74 : 13,529.14 = 3,097.52 : x
  2. Step 2: Convert to fraction form
    9,021.74/13,529.14 = 3,097.52/x
  3. Step 3: Cross multiply
    9,021.74x = 13,529.14 × 3,097.52
  4. Step 4: Simplify right side
    9,021.74x = 41,906,766.25
  5. Step 5: Solve for x
    x = 41,906,766.25/9,021.74
  6. Step 6: Final answer
    x = 4,645.09

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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.