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Finding the Fourth Proportional to 6,764.04, 9,314.01 and 6,369.48

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Solution

The fourth proportional to 6,764.04, 9,314.01 and 6,369.48 is: 8,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.04 : 9,314.01 = 6,369.48 : x
  2. Step 2: Convert to fraction form
    6,764.04/9,314.01 = 6,369.48/x
  3. Step 3: Cross multiply
    6,764.04x = 9,314.01 × 6,369.48
  4. Step 4: Simplify right side
    6,764.04x = 59,325,400.41
  5. Step 5: Solve for x
    x = 59,325,400.41/6,764.04
  6. Step 6: Final answer
    x = 8,770.71

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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.