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Finding the Fourth Proportional to 9,895.80, 14,825.70 and 7,829.40

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Solution

The fourth proportional to 9,895.80, 14,825.70 and 7,829.40 is: 11,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.80 : 14,825.70 = 7,829.40 : x
  2. Step 2: Convert to fraction form
    9,895.80/14,825.70 = 7,829.40/x
  3. Step 3: Cross multiply
    9,895.80x = 14,825.70 × 7,829.40
  4. Step 4: Simplify right side
    9,895.80x = 116,076,335.58
  5. Step 5: Solve for x
    x = 116,076,335.58/9,895.80
  6. Step 6: Final answer
    x = 11,729.86

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