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Finding the Fourth Proportional to 9,246.25, 12,759.83 and 4,997.30

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Solution

The fourth proportional to 9,246.25, 12,759.83 and 4,997.30 is: 6,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.25 : 12,759.83 = 4,997.30 : x
  2. Step 2: Convert to fraction form
    9,246.25/12,759.83 = 4,997.30/x
  3. Step 3: Cross multiply
    9,246.25x = 12,759.83 × 4,997.30
  4. Step 4: Simplify right side
    9,246.25x = 63,764,657.52
  5. Step 5: Solve for x
    x = 63,764,657.52/9,246.25
  6. Step 6: Final answer
    x = 6,896.27

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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.