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Finding the Fourth Proportional to 9,896.80, 14,845.22 and 3,323.16

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Solution

The fourth proportional to 9,896.80, 14,845.22 and 3,323.16 is: 4,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.80 : 14,845.22 = 3,323.16 : x
  2. Step 2: Convert to fraction form
    9,896.80/14,845.22 = 3,323.16/x
  3. Step 3: Cross multiply
    9,896.80x = 14,845.22 × 3,323.16
  4. Step 4: Simplify right side
    9,896.80x = 49,333,041.30
  5. Step 5: Solve for x
    x = 49,333,041.30/9,896.80
  6. Step 6: Final answer
    x = 4,984.75

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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.