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Finding the Fourth Proportional to 9,788.83, 14,678.46 and 6,828.69

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Solution

The fourth proportional to 9,788.83, 14,678.46 and 6,828.69 is: 10,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.83 : 14,678.46 = 6,828.69 : x
  2. Step 2: Convert to fraction form
    9,788.83/14,678.46 = 6,828.69/x
  3. Step 3: Cross multiply
    9,788.83x = 14,678.46 × 6,828.69
  4. Step 4: Simplify right side
    9,788.83x = 100,234,618.87
  5. Step 5: Solve for x
    x = 100,234,618.87/9,788.83
  6. Step 6: Final answer
    x = 10,239.70

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