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Finding the Fourth Proportional to 6,298.19, 9,448.32 and 1,914.63

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Solution

The fourth proportional to 6,298.19, 9,448.32 and 1,914.63 is: 2,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.19 : 9,448.32 = 1,914.63 : x
  2. Step 2: Convert to fraction form
    6,298.19/9,448.32 = 1,914.63/x
  3. Step 3: Cross multiply
    6,298.19x = 9,448.32 × 1,914.63
  4. Step 4: Simplify right side
    6,298.19x = 18,090,036.92
  5. Step 5: Solve for x
    x = 18,090,036.92/6,298.19
  6. Step 6: Final answer
    x = 2,872.26

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