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Finding the Fourth Proportional to 7,208.41, 9,947.61 and 3,896.41

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Solution

The fourth proportional to 7,208.41, 9,947.61 and 3,896.41 is: 5,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.41 : 9,947.61 = 3,896.41 : x
  2. Step 2: Convert to fraction form
    7,208.41/9,947.61 = 3,896.41/x
  3. Step 3: Cross multiply
    7,208.41x = 9,947.61 × 3,896.41
  4. Step 4: Simplify right side
    7,208.41x = 38,759,967.08
  5. Step 5: Solve for x
    x = 38,759,967.08/7,208.41
  6. Step 6: Final answer
    x = 5,377.05

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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.