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Finding the Fourth Proportional to 9,923, 14,880.04 and 7,138

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Solution

The fourth proportional to 9,923, 14,880.04 and 7,138 is: 10,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923 : 14,880.04 = 7,138 : x
  2. Step 2: Convert to fraction form
    9,923/14,880.04 = 7,138/x
  3. Step 3: Cross multiply
    9,923x = 14,880.04 × 7,138
  4. Step 4: Simplify right side
    9,923x = 106,213,725.52
  5. Step 5: Solve for x
    x = 106,213,725.52/9,923
  6. Step 6: Final answer
    x = 10,703.79

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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.