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Finding the Fourth Proportional to 6,896.64, 9,517.08 and 3,752.76

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Solution

The fourth proportional to 6,896.64, 9,517.08 and 3,752.76 is: 5,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.64 : 9,517.08 = 3,752.76 : x
  2. Step 2: Convert to fraction form
    6,896.64/9,517.08 = 3,752.76/x
  3. Step 3: Cross multiply
    6,896.64x = 9,517.08 × 3,752.76
  4. Step 4: Simplify right side
    6,896.64x = 35,715,317.14
  5. Step 5: Solve for x
    x = 35,715,317.14/6,896.64
  6. Step 6: Final answer
    x = 5,178.65

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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.