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Finding the Fourth Proportional to 9,220.43, 13,840.25 and 8,172.90

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Solution

The fourth proportional to 9,220.43, 13,840.25 and 8,172.90 is: 12,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.43 : 13,840.25 = 8,172.90 : x
  2. Step 2: Convert to fraction form
    9,220.43/13,840.25 = 8,172.90/x
  3. Step 3: Cross multiply
    9,220.43x = 13,840.25 × 8,172.90
  4. Step 4: Simplify right side
    9,220.43x = 113,115,018.81
  5. Step 5: Solve for x
    x = 113,115,018.81/9,220.43
  6. Step 6: Final answer
    x = 12,267.86

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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.