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Finding the Fourth Proportional to 6,688.37, 9,230.22 and 3,704.15

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Solution

The fourth proportional to 6,688.37, 9,230.22 and 3,704.15 is: 5,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.37 : 9,230.22 = 3,704.15 : x
  2. Step 2: Convert to fraction form
    6,688.37/9,230.22 = 3,704.15/x
  3. Step 3: Cross multiply
    6,688.37x = 9,230.22 × 3,704.15
  4. Step 4: Simplify right side
    6,688.37x = 34,190,073.26
  5. Step 5: Solve for x
    x = 34,190,073.26/6,688.37
  6. Step 6: Final answer
    x = 5,111.87

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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.