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Finding the Fourth Proportional to 6,584.04, 9,875.02 and 1,965.96

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Solution

The fourth proportional to 6,584.04, 9,875.02 and 1,965.96 is: 2,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.04 : 9,875.02 = 1,965.96 : x
  2. Step 2: Convert to fraction form
    6,584.04/9,875.02 = 1,965.96/x
  3. Step 3: Cross multiply
    6,584.04x = 9,875.02 × 1,965.96
  4. Step 4: Simplify right side
    6,584.04x = 19,413,894.32
  5. Step 5: Solve for x
    x = 19,413,894.32/6,584.04
  6. Step 6: Final answer
    x = 2,948.63

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