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Finding the Fourth Proportional to 9,222.75, 13,820.83 and 5,261.80

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Solution

The fourth proportional to 9,222.75, 13,820.83 and 5,261.80 is: 7,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.75 : 13,820.83 = 5,261.80 : x
  2. Step 2: Convert to fraction form
    9,222.75/13,820.83 = 5,261.80/x
  3. Step 3: Cross multiply
    9,222.75x = 13,820.83 × 5,261.80
  4. Step 4: Simplify right side
    9,222.75x = 72,722,443.29
  5. Step 5: Solve for x
    x = 72,722,443.29/9,222.75
  6. Step 6: Final answer
    x = 7,885.11

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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.