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Finding the Fourth Proportional to 8,228.48, 11,343.82 and 6,964.52

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Solution

The fourth proportional to 8,228.48, 11,343.82 and 6,964.52 is: 9,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.48 : 11,343.82 = 6,964.52 : x
  2. Step 2: Convert to fraction form
    8,228.48/11,343.82 = 6,964.52/x
  3. Step 3: Cross multiply
    8,228.48x = 11,343.82 × 6,964.52
  4. Step 4: Simplify right side
    8,228.48x = 79,004,261.27
  5. Step 5: Solve for x
    x = 79,004,261.27/8,228.48
  6. Step 6: Final answer
    x = 9,601.32

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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.