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Finding the Fourth Proportional to 6,506.02, 9,758.53 and 1,825.78

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Solution

The fourth proportional to 6,506.02, 9,758.53 and 1,825.78 is: 2,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.02 : 9,758.53 = 1,825.78 : x
  2. Step 2: Convert to fraction form
    6,506.02/9,758.53 = 1,825.78/x
  3. Step 3: Cross multiply
    6,506.02x = 9,758.53 × 1,825.78
  4. Step 4: Simplify right side
    6,506.02x = 17,816,928.90
  5. Step 5: Solve for x
    x = 17,816,928.90/6,506.02
  6. Step 6: Final answer
    x = 2,738.53

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