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Finding the Fourth Proportional to 6,800.64, 9,383.09 and 4,147.89

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Solution

The fourth proportional to 6,800.64, 9,383.09 and 4,147.89 is: 5,722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.64 : 9,383.09 = 4,147.89 : x
  2. Step 2: Convert to fraction form
    6,800.64/9,383.09 = 4,147.89/x
  3. Step 3: Cross multiply
    6,800.64x = 9,383.09 × 4,147.89
  4. Step 4: Simplify right side
    6,800.64x = 38,920,004.44
  5. Step 5: Solve for x
    x = 38,920,004.44/6,800.64
  6. Step 6: Final answer
    x = 5,722.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.