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Finding the Fourth Proportional to 9,020.52, 13,530.78 and 3,822.75

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Solution

The fourth proportional to 9,020.52, 13,530.78 and 3,822.75 is: 5,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.52 : 13,530.78 = 3,822.75 : x
  2. Step 2: Convert to fraction form
    9,020.52/13,530.78 = 3,822.75/x
  3. Step 3: Cross multiply
    9,020.52x = 13,530.78 × 3,822.75
  4. Step 4: Simplify right side
    9,020.52x = 51,724,789.25
  5. Step 5: Solve for x
    x = 51,724,789.25/9,020.52
  6. Step 6: Final answer
    x = 5,734.13

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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.