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Finding the Fourth Proportional to 9,447.54, 14,163.09 and 3,897.42

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Solution

The fourth proportional to 9,447.54, 14,163.09 and 3,897.42 is: 5,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.54 : 14,163.09 = 3,897.42 : x
  2. Step 2: Convert to fraction form
    9,447.54/14,163.09 = 3,897.42/x
  3. Step 3: Cross multiply
    9,447.54x = 14,163.09 × 3,897.42
  4. Step 4: Simplify right side
    9,447.54x = 55,199,510.23
  5. Step 5: Solve for x
    x = 55,199,510.23/9,447.54
  6. Step 6: Final answer
    x = 5,842.74

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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.