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Finding the Fourth Proportional to 9,741, 14,604.96 and 4,813.80

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Solution

The fourth proportional to 9,741, 14,604.96 and 4,813.80 is: 7,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741 : 14,604.96 = 4,813.80 : x
  2. Step 2: Convert to fraction form
    9,741/14,604.96 = 4,813.80/x
  3. Step 3: Cross multiply
    9,741x = 14,604.96 × 4,813.80
  4. Step 4: Simplify right side
    9,741x = 70,305,356.45
  5. Step 5: Solve for x
    x = 70,305,356.45/9,741
  6. Step 6: Final answer
    x = 7,217.47

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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.