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Finding the Fourth Proportional to 9,277, 13,916.31 and 2,351.50

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Solution

The fourth proportional to 9,277, 13,916.31 and 2,351.50 is: 3,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277 : 13,916.31 = 2,351.50 : x
  2. Step 2: Convert to fraction form
    9,277/13,916.31 = 2,351.50/x
  3. Step 3: Cross multiply
    9,277x = 13,916.31 × 2,351.50
  4. Step 4: Simplify right side
    9,277x = 32,724,202.97
  5. Step 5: Solve for x
    x = 32,724,202.97/9,277
  6. Step 6: Final answer
    x = 3,527.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.