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Finding the Fourth Proportional to 6,338.38, 9,504.26 and 3,378.40

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Solution

The fourth proportional to 6,338.38, 9,504.26 and 3,378.40 is: 5,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.38 : 9,504.26 = 3,378.40 : x
  2. Step 2: Convert to fraction form
    6,338.38/9,504.26 = 3,378.40/x
  3. Step 3: Cross multiply
    6,338.38x = 9,504.26 × 3,378.40
  4. Step 4: Simplify right side
    6,338.38x = 32,109,191.98
  5. Step 5: Solve for x
    x = 32,109,191.98/6,338.38
  6. Step 6: Final answer
    x = 5,065.84

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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.