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Finding the Fourth Proportional to 6,490.31, 9,736.69 and 3,027.56

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Solution

The fourth proportional to 6,490.31, 9,736.69 and 3,027.56 is: 4,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.31 : 9,736.69 = 3,027.56 : x
  2. Step 2: Convert to fraction form
    6,490.31/9,736.69 = 3,027.56/x
  3. Step 3: Cross multiply
    6,490.31x = 9,736.69 × 3,027.56
  4. Step 4: Simplify right side
    6,490.31x = 29,478,429.95
  5. Step 5: Solve for x
    x = 29,478,429.95/6,490.31
  6. Step 6: Final answer
    x = 4,541.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.