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Finding the Fourth Proportional to 6,704.21, 9,230.76 and 5,693.84

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Solution

The fourth proportional to 6,704.21, 9,230.76 and 5,693.84 is: 7,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.21 : 9,230.76 = 5,693.84 : x
  2. Step 2: Convert to fraction form
    6,704.21/9,230.76 = 5,693.84/x
  3. Step 3: Cross multiply
    6,704.21x = 9,230.76 × 5,693.84
  4. Step 4: Simplify right side
    6,704.21x = 52,558,424.36
  5. Step 5: Solve for x
    x = 52,558,424.36/6,704.21
  6. Step 6: Final answer
    x = 7,839.62

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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.