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Finding the Fourth Proportional to 9,999.70, 13,767.30 and 8,228.26

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Solution

The fourth proportional to 9,999.70, 13,767.30 and 8,228.26 is: 11,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.70 : 13,767.30 = 8,228.26 : x
  2. Step 2: Convert to fraction form
    9,999.70/13,767.30 = 8,228.26/x
  3. Step 3: Cross multiply
    9,999.70x = 13,767.30 × 8,228.26
  4. Step 4: Simplify right side
    9,999.70x = 113,280,923.90
  5. Step 5: Solve for x
    x = 113,280,923.90/9,999.70
  6. Step 6: Final answer
    x = 11,328.43

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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.