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Finding the Fourth Proportional to 9,755.40, 14,633.06 and 2,829.90

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Solution

The fourth proportional to 9,755.40, 14,633.06 and 2,829.90 is: 4,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.40 : 14,633.06 = 2,829.90 : x
  2. Step 2: Convert to fraction form
    9,755.40/14,633.06 = 2,829.90/x
  3. Step 3: Cross multiply
    9,755.40x = 14,633.06 × 2,829.90
  4. Step 4: Simplify right side
    9,755.40x = 41,410,096.49
  5. Step 5: Solve for x
    x = 41,410,096.49/9,755.40
  6. Step 6: Final answer
    x = 4,244.84

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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.