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Finding the Fourth Proportional to 9,202.64, 13,801.64 and 2,628.86

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Solution

The fourth proportional to 9,202.64, 13,801.64 and 2,628.86 is: 3,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.64 : 13,801.64 = 2,628.86 : x
  2. Step 2: Convert to fraction form
    9,202.64/13,801.64 = 2,628.86/x
  3. Step 3: Cross multiply
    9,202.64x = 13,801.64 × 2,628.86
  4. Step 4: Simplify right side
    9,202.64x = 36,282,497.18
  5. Step 5: Solve for x
    x = 36,282,497.18/9,202.64
  6. Step 6: Final answer
    x = 3,942.62

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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.