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Finding the Fourth Proportional to 9,144.19, 13,705.03 and 7,287.67

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Solution

The fourth proportional to 9,144.19, 13,705.03 and 7,287.67 is: 10,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.19 : 13,705.03 = 7,287.67 : x
  2. Step 2: Convert to fraction form
    9,144.19/13,705.03 = 7,287.67/x
  3. Step 3: Cross multiply
    9,144.19x = 13,705.03 × 7,287.67
  4. Step 4: Simplify right side
    9,144.19x = 99,877,735.98
  5. Step 5: Solve for x
    x = 99,877,735.98/9,144.19
  6. Step 6: Final answer
    x = 10,922.54

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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.