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Finding the Fourth Proportional to 9,096.72, 13,644.98 and 2,522.66

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Solution

The fourth proportional to 9,096.72, 13,644.98 and 2,522.66 is: 3,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.72 : 13,644.98 = 2,522.66 : x
  2. Step 2: Convert to fraction form
    9,096.72/13,644.98 = 2,522.66/x
  3. Step 3: Cross multiply
    9,096.72x = 13,644.98 × 2,522.66
  4. Step 4: Simplify right side
    9,096.72x = 34,421,645.25
  5. Step 5: Solve for x
    x = 34,421,645.25/9,096.72
  6. Step 6: Final answer
    x = 3,783.96

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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.