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Finding the Fourth Proportional to 9,754.14, 14,633.50 and 3,180.30

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Solution

The fourth proportional to 9,754.14, 14,633.50 and 3,180.30 is: 4,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.14 : 14,633.50 = 3,180.30 : x
  2. Step 2: Convert to fraction form
    9,754.14/14,633.50 = 3,180.30/x
  3. Step 3: Cross multiply
    9,754.14x = 14,633.50 × 3,180.30
  4. Step 4: Simplify right side
    9,754.14x = 46,538,920.05
  5. Step 5: Solve for x
    x = 46,538,920.05/9,754.14
  6. Step 6: Final answer
    x = 4,771.20

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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.