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Finding the Fourth Proportional to 6,645.70, 9,163.46 and 4,964.28

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Solution

The fourth proportional to 6,645.70, 9,163.46 and 4,964.28 is: 6,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.70 : 9,163.46 = 4,964.28 : x
  2. Step 2: Convert to fraction form
    6,645.70/9,163.46 = 4,964.28/x
  3. Step 3: Cross multiply
    6,645.70x = 9,163.46 × 4,964.28
  4. Step 4: Simplify right side
    6,645.70x = 45,489,959.26
  5. Step 5: Solve for x
    x = 45,489,959.26/6,645.70
  6. Step 6: Final answer
    x = 6,845.02

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