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Finding the Fourth Proportional to 6,002.46, 9,003.70 and 1,619.80

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Solution

The fourth proportional to 6,002.46, 9,003.70 and 1,619.80 is: 2,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.46 : 9,003.70 = 1,619.80 : x
  2. Step 2: Convert to fraction form
    6,002.46/9,003.70 = 1,619.80/x
  3. Step 3: Cross multiply
    6,002.46x = 9,003.70 × 1,619.80
  4. Step 4: Simplify right side
    6,002.46x = 14,584,193.26
  5. Step 5: Solve for x
    x = 14,584,193.26/6,002.46
  6. Step 6: Final answer
    x = 2,429.70

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