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Finding the Fourth Proportional to 9,020.88, 13,528.08 and 3,825

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Solution

The fourth proportional to 9,020.88, 13,528.08 and 3,825 is: 5,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.88 : 13,528.08 = 3,825 : x
  2. Step 2: Convert to fraction form
    9,020.88/13,528.08 = 3,825/x
  3. Step 3: Cross multiply
    9,020.88x = 13,528.08 × 3,825
  4. Step 4: Simplify right side
    9,020.88x = 51,744,906
  5. Step 5: Solve for x
    x = 51,744,906/9,020.88
  6. Step 6: Final answer
    x = 5,736.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.