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Finding the Fourth Proportional to 6,151.82, 9,212.28 and 3,802.16

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Solution

The fourth proportional to 6,151.82, 9,212.28 and 3,802.16 is: 5,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.82 : 9,212.28 = 3,802.16 : x
  2. Step 2: Convert to fraction form
    6,151.82/9,212.28 = 3,802.16/x
  3. Step 3: Cross multiply
    6,151.82x = 9,212.28 × 3,802.16
  4. Step 4: Simplify right side
    6,151.82x = 35,026,516.46
  5. Step 5: Solve for x
    x = 35,026,516.46/6,151.82
  6. Step 6: Final answer
    x = 5,693.69

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