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Finding the Fourth Proportional to 6,574.32, 9,874.76 and 3,946.83

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Solution

The fourth proportional to 6,574.32, 9,874.76 and 3,946.83 is: 5,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.32 : 9,874.76 = 3,946.83 : x
  2. Step 2: Convert to fraction form
    6,574.32/9,874.76 = 3,946.83/x
  3. Step 3: Cross multiply
    6,574.32x = 9,874.76 × 3,946.83
  4. Step 4: Simplify right side
    6,574.32x = 38,973,942.25
  5. Step 5: Solve for x
    x = 38,973,942.25/6,574.32
  6. Step 6: Final answer
    x = 5,928.21

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