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Finding the Fourth Proportional to 9,478.44, 14,217.68 and 5,097.96

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Solution

The fourth proportional to 9,478.44, 14,217.68 and 5,097.96 is: 7,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.44 : 14,217.68 = 5,097.96 : x
  2. Step 2: Convert to fraction form
    9,478.44/14,217.68 = 5,097.96/x
  3. Step 3: Cross multiply
    9,478.44x = 14,217.68 × 5,097.96
  4. Step 4: Simplify right side
    9,478.44x = 72,481,163.93
  5. Step 5: Solve for x
    x = 72,481,163.93/9,478.44
  6. Step 6: Final answer
    x = 7,646.95

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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.