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Finding the Fourth Proportional to 9,584.33, 14,358.67 and 5,205.47

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Solution

The fourth proportional to 9,584.33, 14,358.67 and 5,205.47 is: 7,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.33 : 14,358.67 = 5,205.47 : x
  2. Step 2: Convert to fraction form
    9,584.33/14,358.67 = 5,205.47/x
  3. Step 3: Cross multiply
    9,584.33x = 14,358.67 × 5,205.47
  4. Step 4: Simplify right side
    9,584.33x = 74,743,541.12
  5. Step 5: Solve for x
    x = 74,743,541.12/9,584.33
  6. Step 6: Final answer
    x = 7,798.52

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