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Finding the Fourth Proportional to 6,584.18, 9,875.93 and 4,738.59

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Solution

The fourth proportional to 6,584.18, 9,875.93 and 4,738.59 is: 7,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.18 : 9,875.93 = 4,738.59 : x
  2. Step 2: Convert to fraction form
    6,584.18/9,875.93 = 4,738.59/x
  3. Step 3: Cross multiply
    6,584.18x = 9,875.93 × 4,738.59
  4. Step 4: Simplify right side
    6,584.18x = 46,797,959.45
  5. Step 5: Solve for x
    x = 46,797,959.45/6,584.18
  6. Step 6: Final answer
    x = 7,107.64

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