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Finding the Fourth Proportional to 9,202.54, 13,801 and 3,357.76

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Solution

The fourth proportional to 9,202.54, 13,801 and 3,357.76 is: 5,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.54 : 13,801 = 3,357.76 : x
  2. Step 2: Convert to fraction form
    9,202.54/13,801 = 3,357.76/x
  3. Step 3: Cross multiply
    9,202.54x = 13,801 × 3,357.76
  4. Step 4: Simplify right side
    9,202.54x = 46,340,445.76
  5. Step 5: Solve for x
    x = 46,340,445.76/9,202.54
  6. Step 6: Final answer
    x = 5,035.61

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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.