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Finding the Fourth Proportional to 6,964.44, 9,611.28 and 4,313.40

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Solution

The fourth proportional to 6,964.44, 9,611.28 and 4,313.40 is: 5,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.44 : 9,611.28 = 4,313.40 : x
  2. Step 2: Convert to fraction form
    6,964.44/9,611.28 = 4,313.40/x
  3. Step 3: Cross multiply
    6,964.44x = 9,611.28 × 4,313.40
  4. Step 4: Simplify right side
    6,964.44x = 41,457,295.15
  5. Step 5: Solve for x
    x = 41,457,295.15/6,964.44
  6. Step 6: Final answer
    x = 5,952.71

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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.