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Finding the Fourth Proportional to 9,704.72, 14,546.69 and 5,020.01

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Solution

The fourth proportional to 9,704.72, 14,546.69 and 5,020.01 is: 7,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.72 : 14,546.69 = 5,020.01 : x
  2. Step 2: Convert to fraction form
    9,704.72/14,546.69 = 5,020.01/x
  3. Step 3: Cross multiply
    9,704.72x = 14,546.69 × 5,020.01
  4. Step 4: Simplify right side
    9,704.72x = 73,024,533.05
  5. Step 5: Solve for x
    x = 73,024,533.05/9,704.72
  6. Step 6: Final answer
    x = 7,524.64

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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.