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Finding the Fourth Proportional to 9,704.76, 14,546.76 and 5,020.06

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Solution

The fourth proportional to 9,704.76, 14,546.76 and 5,020.06 is: 7,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.76 : 14,546.76 = 5,020.06 : x
  2. Step 2: Convert to fraction form
    9,704.76/14,546.76 = 5,020.06/x
  3. Step 3: Cross multiply
    9,704.76x = 14,546.76 × 5,020.06
  4. Step 4: Simplify right side
    9,704.76x = 73,025,535.27
  5. Step 5: Solve for x
    x = 73,025,535.27/9,704.76
  6. Step 6: Final answer
    x = 7,524.71

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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.