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Finding the Fourth Proportional to 6,964.47, 9,611.57 and 3,821.26

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Solution

The fourth proportional to 6,964.47, 9,611.57 and 3,821.26 is: 5,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.47 : 9,611.57 = 3,821.26 : x
  2. Step 2: Convert to fraction form
    6,964.47/9,611.57 = 3,821.26/x
  3. Step 3: Cross multiply
    6,964.47x = 9,611.57 × 3,821.26
  4. Step 4: Simplify right side
    6,964.47x = 36,728,307.98
  5. Step 5: Solve for x
    x = 36,728,307.98/6,964.47
  6. Step 6: Final answer
    x = 5,273.67

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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.