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Finding the Fourth Proportional to 6,547.40, 9,821.86 and 2,164.89

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Solution

The fourth proportional to 6,547.40, 9,821.86 and 2,164.89 is: 3,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.40 : 9,821.86 = 2,164.89 : x
  2. Step 2: Convert to fraction form
    6,547.40/9,821.86 = 2,164.89/x
  3. Step 3: Cross multiply
    6,547.40x = 9,821.86 × 2,164.89
  4. Step 4: Simplify right side
    6,547.40x = 21,263,277.92
  5. Step 5: Solve for x
    x = 21,263,277.92/6,547.40
  6. Step 6: Final answer
    x = 3,247.59

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