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Finding the Fourth Proportional to 6,689.08, 9,233 and 3,858.36

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Solution

The fourth proportional to 6,689.08, 9,233 and 3,858.36 is: 5,325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.08 : 9,233 = 3,858.36 : x
  2. Step 2: Convert to fraction form
    6,689.08/9,233 = 3,858.36/x
  3. Step 3: Cross multiply
    6,689.08x = 9,233 × 3,858.36
  4. Step 4: Simplify right side
    6,689.08x = 35,624,237.88
  5. Step 5: Solve for x
    x = 35,624,237.88/6,689.08
  6. Step 6: Final answer
    x = 5,325.73

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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.