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Finding the Fourth Proportional to 6,947.58, 9,588.78 and 3,964.39

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Solution

The fourth proportional to 6,947.58, 9,588.78 and 3,964.39 is: 5,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.58 : 9,588.78 = 3,964.39 : x
  2. Step 2: Convert to fraction form
    6,947.58/9,588.78 = 3,964.39/x
  3. Step 3: Cross multiply
    6,947.58x = 9,588.78 × 3,964.39
  4. Step 4: Simplify right side
    6,947.58x = 38,013,663.54
  5. Step 5: Solve for x
    x = 38,013,663.54/6,947.58
  6. Step 6: Final answer
    x = 5,471.50

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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.