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Finding the Fourth Proportional to 6,796.17, 9,376.83 and 4,142.61

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Solution

The fourth proportional to 6,796.17, 9,376.83 and 4,142.61 is: 5,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.17 : 9,376.83 = 4,142.61 : x
  2. Step 2: Convert to fraction form
    6,796.17/9,376.83 = 4,142.61/x
  3. Step 3: Cross multiply
    6,796.17x = 9,376.83 × 4,142.61
  4. Step 4: Simplify right side
    6,796.17x = 38,844,549.73
  5. Step 5: Solve for x
    x = 38,844,549.73/6,796.17
  6. Step 6: Final answer
    x = 5,715.65

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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.