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Finding the Fourth Proportional to 9,770.63, 14,662.49 and 3,614.63

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Solution

The fourth proportional to 9,770.63, 14,662.49 and 3,614.63 is: 5,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.63 : 14,662.49 = 3,614.63 : x
  2. Step 2: Convert to fraction form
    9,770.63/14,662.49 = 3,614.63/x
  3. Step 3: Cross multiply
    9,770.63x = 14,662.49 × 3,614.63
  4. Step 4: Simplify right side
    9,770.63x = 52,999,384.84
  5. Step 5: Solve for x
    x = 52,999,384.84/9,770.63
  6. Step 6: Final answer
    x = 5,424.36

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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.