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Finding the Fourth Proportional to 6,801.41, 9,385.78 and 3,817.16

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Solution

The fourth proportional to 6,801.41, 9,385.78 and 3,817.16 is: 5,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.41 : 9,385.78 = 3,817.16 : x
  2. Step 2: Convert to fraction form
    6,801.41/9,385.78 = 3,817.16/x
  3. Step 3: Cross multiply
    6,801.41x = 9,385.78 × 3,817.16
  4. Step 4: Simplify right side
    6,801.41x = 35,827,004.90
  5. Step 5: Solve for x
    x = 35,827,004.90/6,801.41
  6. Step 6: Final answer
    x = 5,267.59

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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.