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Finding the Fourth Proportional to 6,582.42, 9,880.46 and 3,814.48

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Solution

The fourth proportional to 6,582.42, 9,880.46 and 3,814.48 is: 5,725.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.42 : 9,880.46 = 3,814.48 : x
  2. Step 2: Convert to fraction form
    6,582.42/9,880.46 = 3,814.48/x
  3. Step 3: Cross multiply
    6,582.42x = 9,880.46 × 3,814.48
  4. Step 4: Simplify right side
    6,582.42x = 37,688,817.06
  5. Step 5: Solve for x
    x = 37,688,817.06/6,582.42
  6. Step 6: Final answer
    x = 5,725.68

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