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Finding the Fourth Proportional to 6,513.64, 9,768.58 and 1,833.33

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Solution

The fourth proportional to 6,513.64, 9,768.58 and 1,833.33 is: 2,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.64 : 9,768.58 = 1,833.33 : x
  2. Step 2: Convert to fraction form
    6,513.64/9,768.58 = 1,833.33/x
  3. Step 3: Cross multiply
    6,513.64x = 9,768.58 × 1,833.33
  4. Step 4: Simplify right side
    6,513.64x = 17,909,030.77
  5. Step 5: Solve for x
    x = 17,909,030.77/6,513.64
  6. Step 6: Final answer
    x = 2,749.47

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