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Finding the Fourth Proportional to 9,696.16, 14,544.32 and 5,788.80

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Solution

The fourth proportional to 9,696.16, 14,544.32 and 5,788.80 is: 8,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.16 : 14,544.32 = 5,788.80 : x
  2. Step 2: Convert to fraction form
    9,696.16/14,544.32 = 5,788.80/x
  3. Step 3: Cross multiply
    9,696.16x = 14,544.32 × 5,788.80
  4. Step 4: Simplify right side
    9,696.16x = 84,194,159.62
  5. Step 5: Solve for x
    x = 84,194,159.62/9,696.16
  6. Step 6: Final answer
    x = 8,683.25

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