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Finding the Fourth Proportional to 9,442.26, 14,163.42 and 2,516.76

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Solution

The fourth proportional to 9,442.26, 14,163.42 and 2,516.76 is: 3,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.26 : 14,163.42 = 2,516.76 : x
  2. Step 2: Convert to fraction form
    9,442.26/14,163.42 = 2,516.76/x
  3. Step 3: Cross multiply
    9,442.26x = 14,163.42 × 2,516.76
  4. Step 4: Simplify right side
    9,442.26x = 35,645,928.92
  5. Step 5: Solve for x
    x = 35,645,928.92/9,442.26
  6. Step 6: Final answer
    x = 3,775.15

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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.