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Finding the Fourth Proportional to 6,547.91, 9,823.40 and 2,165.37

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Solution

The fourth proportional to 6,547.91, 9,823.40 and 2,165.37 is: 3,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.91 : 9,823.40 = 2,165.37 : x
  2. Step 2: Convert to fraction form
    6,547.91/9,823.40 = 2,165.37/x
  3. Step 3: Cross multiply
    6,547.91x = 9,823.40 × 2,165.37
  4. Step 4: Simplify right side
    6,547.91x = 21,271,295.66
  5. Step 5: Solve for x
    x = 21,271,295.66/6,547.91
  6. Step 6: Final answer
    x = 3,248.56

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