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Finding the Fourth Proportional to 6,828.88, 9,424.03 and 3,844.82

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Solution

The fourth proportional to 6,828.88, 9,424.03 and 3,844.82 is: 5,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.88 : 9,424.03 = 3,844.82 : x
  2. Step 2: Convert to fraction form
    6,828.88/9,424.03 = 3,844.82/x
  3. Step 3: Cross multiply
    6,828.88x = 9,424.03 × 3,844.82
  4. Step 4: Simplify right side
    6,828.88x = 36,233,699.02
  5. Step 5: Solve for x
    x = 36,233,699.02/6,828.88
  6. Step 6: Final answer
    x = 5,305.95

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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.