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Finding the Fourth Proportional to 9,271.43, 13,907.03 and 2,251.50

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Solution

The fourth proportional to 9,271.43, 13,907.03 and 2,251.50 is: 3,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.43 : 13,907.03 = 2,251.50 : x
  2. Step 2: Convert to fraction form
    9,271.43/13,907.03 = 2,251.50/x
  3. Step 3: Cross multiply
    9,271.43x = 13,907.03 × 2,251.50
  4. Step 4: Simplify right side
    9,271.43x = 31,311,666.79
  5. Step 5: Solve for x
    x = 31,311,666.79/9,271.43
  6. Step 6: Final answer
    x = 3,377.22

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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.