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Finding the Fourth Proportional to 6,285.78, 8,666.37 and 3,927.06

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Solution

The fourth proportional to 6,285.78, 8,666.37 and 3,927.06 is: 5,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.78 : 8,666.37 = 3,927.06 : x
  2. Step 2: Convert to fraction form
    6,285.78/8,666.37 = 3,927.06/x
  3. Step 3: Cross multiply
    6,285.78x = 8,666.37 × 3,927.06
  4. Step 4: Simplify right side
    6,285.78x = 34,033,354.97
  5. Step 5: Solve for x
    x = 34,033,354.97/6,285.78
  6. Step 6: Final answer
    x = 5,414.34

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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.