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Finding the Fourth Proportional to 6,964.23, 9,610.52 and 3,777.46

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Solution

The fourth proportional to 6,964.23, 9,610.52 and 3,777.46 is: 5,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.23 : 9,610.52 = 3,777.46 : x
  2. Step 2: Convert to fraction form
    6,964.23/9,610.52 = 3,777.46/x
  3. Step 3: Cross multiply
    6,964.23x = 9,610.52 × 3,777.46
  4. Step 4: Simplify right side
    6,964.23x = 36,303,354.88
  5. Step 5: Solve for x
    x = 36,303,354.88/6,964.23
  6. Step 6: Final answer
    x = 5,212.83

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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.