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Finding the Fourth Proportional to 6,502.69, 9,749.93 and 3,583.04

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Solution

The fourth proportional to 6,502.69, 9,749.93 and 3,583.04 is: 5,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.69 : 9,749.93 = 3,583.04 : x
  2. Step 2: Convert to fraction form
    6,502.69/9,749.93 = 3,583.04/x
  3. Step 3: Cross multiply
    6,502.69x = 9,749.93 × 3,583.04
  4. Step 4: Simplify right side
    6,502.69x = 34,934,371.27
  5. Step 5: Solve for x
    x = 34,934,371.27/6,502.69
  6. Step 6: Final answer
    x = 5,372.30

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