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Finding the Fourth Proportional to 6,688.36, 9,230.06 and 3,704.27

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Solution

The fourth proportional to 6,688.36, 9,230.06 and 3,704.27 is: 5,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.36 : 9,230.06 = 3,704.27 : x
  2. Step 2: Convert to fraction form
    6,688.36/9,230.06 = 3,704.27/x
  3. Step 3: Cross multiply
    6,688.36x = 9,230.06 × 3,704.27
  4. Step 4: Simplify right side
    6,688.36x = 34,190,634.36
  5. Step 5: Solve for x
    x = 34,190,634.36/6,688.36
  6. Step 6: Final answer
    x = 5,111.96

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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.