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Finding the Fourth Proportional to 6,543.48, 9,814.80 and 2,646.84

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Solution

The fourth proportional to 6,543.48, 9,814.80 and 2,646.84 is: 3,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.48 : 9,814.80 = 2,646.84 : x
  2. Step 2: Convert to fraction form
    6,543.48/9,814.80 = 2,646.84/x
  3. Step 3: Cross multiply
    6,543.48x = 9,814.80 × 2,646.84
  4. Step 4: Simplify right side
    6,543.48x = 25,978,205.23
  5. Step 5: Solve for x
    x = 25,978,205.23/6,543.48
  6. Step 6: Final answer
    x = 3,970.09

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