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Finding the Fourth Proportional to 9,678.62, 14,522.80 and 7,218.38

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Solution

The fourth proportional to 9,678.62, 14,522.80 and 7,218.38 is: 10,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.62 : 14,522.80 = 7,218.38 : x
  2. Step 2: Convert to fraction form
    9,678.62/14,522.80 = 7,218.38/x
  3. Step 3: Cross multiply
    9,678.62x = 14,522.80 × 7,218.38
  4. Step 4: Simplify right side
    9,678.62x = 104,831,089.06
  5. Step 5: Solve for x
    x = 104,831,089.06/9,678.62
  6. Step 6: Final answer
    x = 10,831.20

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