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Finding the Fourth Proportional to 6,934.41, 10,386.90 and 6,438.69

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Solution

The fourth proportional to 6,934.41, 10,386.90 and 6,438.69 is: 9,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.41 : 10,386.90 = 6,438.69 : x
  2. Step 2: Convert to fraction form
    6,934.41/10,386.90 = 6,438.69/x
  3. Step 3: Cross multiply
    6,934.41x = 10,386.90 × 6,438.69
  4. Step 4: Simplify right side
    6,934.41x = 66,878,029.16
  5. Step 5: Solve for x
    x = 66,878,029.16/6,934.41
  6. Step 6: Final answer
    x = 9,644.37

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