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Finding the Fourth Proportional to 9,704.12, 14,557.12 and 3,859.44

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Solution

The fourth proportional to 9,704.12, 14,557.12 and 3,859.44 is: 5,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.12 : 14,557.12 = 3,859.44 : x
  2. Step 2: Convert to fraction form
    9,704.12/14,557.12 = 3,859.44/x
  3. Step 3: Cross multiply
    9,704.12x = 14,557.12 × 3,859.44
  4. Step 4: Simplify right side
    9,704.12x = 56,182,331.21
  5. Step 5: Solve for x
    x = 56,182,331.21/9,704.12
  6. Step 6: Final answer
    x = 5,789.53

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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.