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Finding the Fourth Proportional to 9,697.05, 14,544.76 and 3,852.09

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Solution

The fourth proportional to 9,697.05, 14,544.76 and 3,852.09 is: 5,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.05 : 14,544.76 = 3,852.09 : x
  2. Step 2: Convert to fraction form
    9,697.05/14,544.76 = 3,852.09/x
  3. Step 3: Cross multiply
    9,697.05x = 14,544.76 × 3,852.09
  4. Step 4: Simplify right side
    9,697.05x = 56,027,632.56
  5. Step 5: Solve for x
    x = 56,027,632.56/9,697.05
  6. Step 6: Final answer
    x = 5,777.80

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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.