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Finding the Fourth Proportional to 8,964.12, 13,455.96 and 6,796.56

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Solution

The fourth proportional to 8,964.12, 13,455.96 and 6,796.56 is: 10,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.12 : 13,455.96 = 6,796.56 : x
  2. Step 2: Convert to fraction form
    8,964.12/13,455.96 = 6,796.56/x
  3. Step 3: Cross multiply
    8,964.12x = 13,455.96 × 6,796.56
  4. Step 4: Simplify right side
    8,964.12x = 91,454,239.50
  5. Step 5: Solve for x
    x = 91,454,239.50/8,964.12
  6. Step 6: Final answer
    x = 10,202.26

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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.