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Finding the Fourth Proportional to 9,829.80, 14,744.70 and 5,164.20

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Solution

The fourth proportional to 9,829.80, 14,744.70 and 5,164.20 is: 7,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.80 : 14,744.70 = 5,164.20 : x
  2. Step 2: Convert to fraction form
    9,829.80/14,744.70 = 5,164.20/x
  3. Step 3: Cross multiply
    9,829.80x = 14,744.70 × 5,164.20
  4. Step 4: Simplify right side
    9,829.80x = 76,144,579.74
  5. Step 5: Solve for x
    x = 76,144,579.74/9,829.80
  6. Step 6: Final answer
    x = 7,746.30

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