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Finding the Fourth Proportional to 6,829.83, 9,425.34 and 3,845.78

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Solution

The fourth proportional to 6,829.83, 9,425.34 and 3,845.78 is: 5,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.83 : 9,425.34 = 3,845.78 : x
  2. Step 2: Convert to fraction form
    6,829.83/9,425.34 = 3,845.78/x
  3. Step 3: Cross multiply
    6,829.83x = 9,425.34 × 3,845.78
  4. Step 4: Simplify right side
    6,829.83x = 36,247,772.28
  5. Step 5: Solve for x
    x = 36,247,772.28/6,829.83
  6. Step 6: Final answer
    x = 5,307.27

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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.