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Finding the Fourth Proportional to 6,801.30, 9,385.62 and 3,817.86

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Solution

The fourth proportional to 6,801.30, 9,385.62 and 3,817.86 is: 5,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.30 : 9,385.62 = 3,817.86 : x
  2. Step 2: Convert to fraction form
    6,801.30/9,385.62 = 3,817.86/x
  3. Step 3: Cross multiply
    6,801.30x = 9,385.62 × 3,817.86
  4. Step 4: Simplify right side
    6,801.30x = 35,832,983.17
  5. Step 5: Solve for x
    x = 35,832,983.17/6,801.30
  6. Step 6: Final answer
    x = 5,268.55

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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.