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Finding the Fourth Proportional to 6,352.40, 9,534.75 and 3,067.80

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Solution

The fourth proportional to 6,352.40, 9,534.75 and 3,067.80 is: 4,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.40 : 9,534.75 = 3,067.80 : x
  2. Step 2: Convert to fraction form
    6,352.40/9,534.75 = 3,067.80/x
  3. Step 3: Cross multiply
    6,352.40x = 9,534.75 × 3,067.80
  4. Step 4: Simplify right side
    6,352.40x = 29,250,706.05
  5. Step 5: Solve for x
    x = 29,250,706.05/6,352.40
  6. Step 6: Final answer
    x = 4,604.67

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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.