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Finding the Fourth Proportional to 9,812.81, 13,541.40 and 5,564.26

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Solution

The fourth proportional to 9,812.81, 13,541.40 and 5,564.26 is: 7,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.81 : 13,541.40 = 5,564.26 : x
  2. Step 2: Convert to fraction form
    9,812.81/13,541.40 = 5,564.26/x
  3. Step 3: Cross multiply
    9,812.81x = 13,541.40 × 5,564.26
  4. Step 4: Simplify right side
    9,812.81x = 75,347,891.64
  5. Step 5: Solve for x
    x = 75,347,891.64/9,812.81
  6. Step 6: Final answer
    x = 7,678.52

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