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Finding the Fourth Proportional to 6,931.62, 9,564.75 and 3,947.04

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Solution

The fourth proportional to 6,931.62, 9,564.75 and 3,947.04 is: 5,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.62 : 9,564.75 = 3,947.04 : x
  2. Step 2: Convert to fraction form
    6,931.62/9,564.75 = 3,947.04/x
  3. Step 3: Cross multiply
    6,931.62x = 9,564.75 × 3,947.04
  4. Step 4: Simplify right side
    6,931.62x = 37,752,450.84
  5. Step 5: Solve for x
    x = 37,752,450.84/6,931.62
  6. Step 6: Final answer
    x = 5,446.41

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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.