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Finding the Fourth Proportional to 7,040.25, 9,715.68 and 3,896.37

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Solution

The fourth proportional to 7,040.25, 9,715.68 and 3,896.37 is: 5,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.25 : 9,715.68 = 3,896.37 : x
  2. Step 2: Convert to fraction form
    7,040.25/9,715.68 = 3,896.37/x
  3. Step 3: Cross multiply
    7,040.25x = 9,715.68 × 3,896.37
  4. Step 4: Simplify right side
    7,040.25x = 37,855,884.08
  5. Step 5: Solve for x
    x = 37,855,884.08/7,040.25
  6. Step 6: Final answer
    x = 5,377.07

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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.