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Finding the Fourth Proportional to 6,947.94, 9,588.06 and 3,964.71

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Solution

The fourth proportional to 6,947.94, 9,588.06 and 3,964.71 is: 5,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.94 : 9,588.06 = 3,964.71 : x
  2. Step 2: Convert to fraction form
    6,947.94/9,588.06 = 3,964.71/x
  3. Step 3: Cross multiply
    6,947.94x = 9,588.06 × 3,964.71
  4. Step 4: Simplify right side
    6,947.94x = 38,013,877.36
  5. Step 5: Solve for x
    x = 38,013,877.36/6,947.94
  6. Step 6: Final answer
    x = 5,471.24

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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.