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Finding the Fourth Proportional to 9,419, 14,134.98 and 3,263

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Solution

The fourth proportional to 9,419, 14,134.98 and 3,263 is: 4,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419 : 14,134.98 = 3,263 : x
  2. Step 2: Convert to fraction form
    9,419/14,134.98 = 3,263/x
  3. Step 3: Cross multiply
    9,419x = 14,134.98 × 3,263
  4. Step 4: Simplify right side
    9,419x = 46,122,439.74
  5. Step 5: Solve for x
    x = 46,122,439.74/9,419
  6. Step 6: Final answer
    x = 4,896.74

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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.