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Finding the Fourth Proportional to 9,448.38, 14,163.38 and 4,516.74

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Solution

The fourth proportional to 9,448.38, 14,163.38 and 4,516.74 is: 6,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.38 : 14,163.38 = 4,516.74 : x
  2. Step 2: Convert to fraction form
    9,448.38/14,163.38 = 4,516.74/x
  3. Step 3: Cross multiply
    9,448.38x = 14,163.38 × 4,516.74
  4. Step 4: Simplify right side
    9,448.38x = 63,972,304.98
  5. Step 5: Solve for x
    x = 63,972,304.98/9,448.38
  6. Step 6: Final answer
    x = 6,770.72

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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.