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Finding the Fourth Proportional to 6,298.75, 9,448.33 and 1,916.25

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Solution

The fourth proportional to 6,298.75, 9,448.33 and 1,916.25 is: 2,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.75 : 9,448.33 = 1,916.25 : x
  2. Step 2: Convert to fraction form
    6,298.75/9,448.33 = 1,916.25/x
  3. Step 3: Cross multiply
    6,298.75x = 9,448.33 × 1,916.25
  4. Step 4: Simplify right side
    6,298.75x = 18,105,362.36
  5. Step 5: Solve for x
    x = 18,105,362.36/6,298.75
  6. Step 6: Final answer
    x = 2,874.44

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