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Finding the Fourth Proportional to 9,838.44, 14,757.98 and 3,264.44

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Solution

The fourth proportional to 9,838.44, 14,757.98 and 3,264.44 is: 4,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.44 : 14,757.98 = 3,264.44 : x
  2. Step 2: Convert to fraction form
    9,838.44/14,757.98 = 3,264.44/x
  3. Step 3: Cross multiply
    9,838.44x = 14,757.98 × 3,264.44
  4. Step 4: Simplify right side
    9,838.44x = 48,176,540.23
  5. Step 5: Solve for x
    x = 48,176,540.23/9,838.44
  6. Step 6: Final answer
    x = 4,896.77

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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.