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Finding the Fourth Proportional to 6,289.32, 9,419.19 and 3,694.08

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Solution

The fourth proportional to 6,289.32, 9,419.19 and 3,694.08 is: 5,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.32 : 9,419.19 = 3,694.08 : x
  2. Step 2: Convert to fraction form
    6,289.32/9,419.19 = 3,694.08/x
  3. Step 3: Cross multiply
    6,289.32x = 9,419.19 × 3,694.08
  4. Step 4: Simplify right side
    6,289.32x = 34,795,241.40
  5. Step 5: Solve for x
    x = 34,795,241.40/6,289.32
  6. Step 6: Final answer
    x = 5,532.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.