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Finding the Fourth Proportional to 6,486.82, 8,955.78 and 4,220.32

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Solution

The fourth proportional to 6,486.82, 8,955.78 and 4,220.32 is: 5,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.82 : 8,955.78 = 4,220.32 : x
  2. Step 2: Convert to fraction form
    6,486.82/8,955.78 = 4,220.32/x
  3. Step 3: Cross multiply
    6,486.82x = 8,955.78 × 4,220.32
  4. Step 4: Simplify right side
    6,486.82x = 37,796,257.45
  5. Step 5: Solve for x
    x = 37,796,257.45/6,486.82
  6. Step 6: Final answer
    x = 5,826.62

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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.