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Finding the Fourth Proportional to 6,896.21, 9,516.44 and 4,063.70

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Solution

The fourth proportional to 6,896.21, 9,516.44 and 4,063.70 is: 5,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.21 : 9,516.44 = 4,063.70 : x
  2. Step 2: Convert to fraction form
    6,896.21/9,516.44 = 4,063.70/x
  3. Step 3: Cross multiply
    6,896.21x = 9,516.44 × 4,063.70
  4. Step 4: Simplify right side
    6,896.21x = 38,671,889.33
  5. Step 5: Solve for x
    x = 38,671,889.33/6,896.21
  6. Step 6: Final answer
    x = 5,607.71

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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.