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Finding the Fourth Proportional to 6,285.90, 9,428.19 and 3,164.64

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Solution

The fourth proportional to 6,285.90, 9,428.19 and 3,164.64 is: 4,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.90 : 9,428.19 = 3,164.64 : x
  2. Step 2: Convert to fraction form
    6,285.90/9,428.19 = 3,164.64/x
  3. Step 3: Cross multiply
    6,285.90x = 9,428.19 × 3,164.64
  4. Step 4: Simplify right side
    6,285.90x = 29,836,827.20
  5. Step 5: Solve for x
    x = 29,836,827.20/6,285.90
  6. Step 6: Final answer
    x = 4,746.63

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