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Finding the Fourth Proportional to 6,829.54, 9,422.88 and 3,845.20

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Solution

The fourth proportional to 6,829.54, 9,422.88 and 3,845.20 is: 5,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.54 : 9,422.88 = 3,845.20 : x
  2. Step 2: Convert to fraction form
    6,829.54/9,422.88 = 3,845.20/x
  3. Step 3: Cross multiply
    6,829.54x = 9,422.88 × 3,845.20
  4. Step 4: Simplify right side
    6,829.54x = 36,232,858.18
  5. Step 5: Solve for x
    x = 36,232,858.18/6,829.54
  6. Step 6: Final answer
    x = 5,305.31

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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.