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Finding the Fourth Proportional to 6,964.21, 9,610.47 and 3,939.28

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Solution

The fourth proportional to 6,964.21, 9,610.47 and 3,939.28 is: 5,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.21 : 9,610.47 = 3,939.28 : x
  2. Step 2: Convert to fraction form
    6,964.21/9,610.47 = 3,939.28/x
  3. Step 3: Cross multiply
    6,964.21x = 9,610.47 × 3,939.28
  4. Step 4: Simplify right side
    6,964.21x = 37,858,332.26
  5. Step 5: Solve for x
    x = 37,858,332.26/6,964.21
  6. Step 6: Final answer
    x = 5,436.13

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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.