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Finding the Fourth Proportional to 6,688.45, 9,230.14 and 3,704.34

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Solution

The fourth proportional to 6,688.45, 9,230.14 and 3,704.34 is: 5,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.45 : 9,230.14 = 3,704.34 : x
  2. Step 2: Convert to fraction form
    6,688.45/9,230.14 = 3,704.34/x
  3. Step 3: Cross multiply
    6,688.45x = 9,230.14 × 3,704.34
  4. Step 4: Simplify right side
    6,688.45x = 34,191,616.05
  5. Step 5: Solve for x
    x = 34,191,616.05/6,688.45
  6. Step 6: Final answer
    x = 5,112.04

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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.