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Finding the Fourth Proportional to 9,203.70, 13,806.31 and 3,278.30

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Solution

The fourth proportional to 9,203.70, 13,806.31 and 3,278.30 is: 4,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.70 : 13,806.31 = 3,278.30 : x
  2. Step 2: Convert to fraction form
    9,203.70/13,806.31 = 3,278.30/x
  3. Step 3: Cross multiply
    9,203.70x = 13,806.31 × 3,278.30
  4. Step 4: Simplify right side
    9,203.70x = 45,261,198.43
  5. Step 5: Solve for x
    x = 45,261,198.43/9,203.70
  6. Step 6: Final answer
    x = 4,917.72

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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.