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Finding the Fourth Proportional to 9,351.69, 14,024.78 and 7,704.15

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Solution

The fourth proportional to 9,351.69, 14,024.78 and 7,704.15 is: 11,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.69 : 14,024.78 = 7,704.15 : x
  2. Step 2: Convert to fraction form
    9,351.69/14,024.78 = 7,704.15/x
  3. Step 3: Cross multiply
    9,351.69x = 14,024.78 × 7,704.15
  4. Step 4: Simplify right side
    9,351.69x = 108,049,008.84
  5. Step 5: Solve for x
    x = 108,049,008.84/9,351.69
  6. Step 6: Final answer
    x = 11,553.96

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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.