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Finding the Fourth Proportional to 6,547.42, 9,814.75 and 3,619.57

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Solution

The fourth proportional to 6,547.42, 9,814.75 and 3,619.57 is: 5,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.42 : 9,814.75 = 3,619.57 : x
  2. Step 2: Convert to fraction form
    6,547.42/9,814.75 = 3,619.57/x
  3. Step 3: Cross multiply
    6,547.42x = 9,814.75 × 3,619.57
  4. Step 4: Simplify right side
    6,547.42x = 35,525,174.66
  5. Step 5: Solve for x
    x = 35,525,174.66/6,547.42
  6. Step 6: Final answer
    x = 5,425.83

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