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Finding the Fourth Proportional to 9,755.20, 14,627.40 and 3,905.20

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Solution

The fourth proportional to 9,755.20, 14,627.40 and 3,905.20 is: 5,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.20 : 14,627.40 = 3,905.20 : x
  2. Step 2: Convert to fraction form
    9,755.20/14,627.40 = 3,905.20/x
  3. Step 3: Cross multiply
    9,755.20x = 14,627.40 × 3,905.20
  4. Step 4: Simplify right side
    9,755.20x = 57,122,922.48
  5. Step 5: Solve for x
    x = 57,122,922.48/9,755.20
  6. Step 6: Final answer
    x = 5,855.64

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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.