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Finding the Fourth Proportional to 9,414.44, 14,118.78 and 3,257

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Solution

The fourth proportional to 9,414.44, 14,118.78 and 3,257 is: 4,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.44 : 14,118.78 = 3,257 : x
  2. Step 2: Convert to fraction form
    9,414.44/14,118.78 = 3,257/x
  3. Step 3: Cross multiply
    9,414.44x = 14,118.78 × 3,257
  4. Step 4: Simplify right side
    9,414.44x = 45,984,866.46
  5. Step 5: Solve for x
    x = 45,984,866.46/9,414.44
  6. Step 6: Final answer
    x = 4,884.50

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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.