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Finding the Fourth Proportional to 9,620.28, 13,267.62 and 7,627.32

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Solution

The fourth proportional to 9,620.28, 13,267.62 and 7,627.32 is: 10,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.28 : 13,267.62 = 7,627.32 : x
  2. Step 2: Convert to fraction form
    9,620.28/13,267.62 = 7,627.32/x
  3. Step 3: Cross multiply
    9,620.28x = 13,267.62 × 7,627.32
  4. Step 4: Simplify right side
    9,620.28x = 101,196,383.38
  5. Step 5: Solve for x
    x = 101,196,383.38/9,620.28
  6. Step 6: Final answer
    x = 10,519.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.