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Finding the Fourth Proportional to 9,577.62, 14,366.88 and 2,557.80

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Solution

The fourth proportional to 9,577.62, 14,366.88 and 2,557.80 is: 3,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.62 : 14,366.88 = 2,557.80 : x
  2. Step 2: Convert to fraction form
    9,577.62/14,366.88 = 2,557.80/x
  3. Step 3: Cross multiply
    9,577.62x = 14,366.88 × 2,557.80
  4. Step 4: Simplify right side
    9,577.62x = 36,747,605.66
  5. Step 5: Solve for x
    x = 36,747,605.66/9,577.62
  6. Step 6: Final answer
    x = 3,836.82

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