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Finding the Fourth Proportional to 6,548.24, 9,820.64 and 2,849.61

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Solution

The fourth proportional to 6,548.24, 9,820.64 and 2,849.61 is: 4,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.24 : 9,820.64 = 2,849.61 : x
  2. Step 2: Convert to fraction form
    6,548.24/9,820.64 = 2,849.61/x
  3. Step 3: Cross multiply
    6,548.24x = 9,820.64 × 2,849.61
  4. Step 4: Simplify right side
    6,548.24x = 27,985,037.90
  5. Step 5: Solve for x
    x = 27,985,037.90/6,548.24
  6. Step 6: Final answer
    x = 4,273.67

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