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Finding the Fourth Proportional to 9,201.80, 13,806.80 and 4,818.23

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Solution

The fourth proportional to 9,201.80, 13,806.80 and 4,818.23 is: 7,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.80 : 13,806.80 = 4,818.23 : x
  2. Step 2: Convert to fraction form
    9,201.80/13,806.80 = 4,818.23/x
  3. Step 3: Cross multiply
    9,201.80x = 13,806.80 × 4,818.23
  4. Step 4: Simplify right side
    9,201.80x = 66,524,419.45
  5. Step 5: Solve for x
    x = 66,524,419.45/9,201.80
  6. Step 6: Final answer
    x = 7,229.50

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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.