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Finding the Fourth Proportional to 9,524.97, 14,297.03 and 7,790.57

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Solution

The fourth proportional to 9,524.97, 14,297.03 and 7,790.57 is: 11,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.97 : 14,297.03 = 7,790.57 : x
  2. Step 2: Convert to fraction form
    9,524.97/14,297.03 = 7,790.57/x
  3. Step 3: Cross multiply
    9,524.97x = 14,297.03 × 7,790.57
  4. Step 4: Simplify right side
    9,524.97x = 111,381,902.57
  5. Step 5: Solve for x
    x = 111,381,902.57/9,524.97
  6. Step 6: Final answer
    x = 11,693.67

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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.