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Finding the Fourth Proportional to 6,893.82, 9,511.02 and 4,203.95

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Solution

The fourth proportional to 6,893.82, 9,511.02 and 4,203.95 is: 5,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.82 : 9,511.02 = 4,203.95 : x
  2. Step 2: Convert to fraction form
    6,893.82/9,511.02 = 4,203.95/x
  3. Step 3: Cross multiply
    6,893.82x = 9,511.02 × 4,203.95
  4. Step 4: Simplify right side
    6,893.82x = 39,983,804.97
  5. Step 5: Solve for x
    x = 39,983,804.97/6,893.82
  6. Step 6: Final answer
    x = 5,799.95

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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.