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Finding the Fourth Proportional to 9,096.98, 13,645.46 and 2,522.61

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Solution

The fourth proportional to 9,096.98, 13,645.46 and 2,522.61 is: 3,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.98 : 13,645.46 = 2,522.61 : x
  2. Step 2: Convert to fraction form
    9,096.98/13,645.46 = 2,522.61/x
  3. Step 3: Cross multiply
    9,096.98x = 13,645.46 × 2,522.61
  4. Step 4: Simplify right side
    9,096.98x = 34,422,180.16
  5. Step 5: Solve for x
    x = 34,422,180.16/9,096.98
  6. Step 6: Final answer
    x = 3,783.92

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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.