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Finding the Fourth Proportional to 9,755.20, 14,630.10 and 3,912.40

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Solution

The fourth proportional to 9,755.20, 14,630.10 and 3,912.40 is: 5,867.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.20 : 14,630.10 = 3,912.40 : x
  2. Step 2: Convert to fraction form
    9,755.20/14,630.10 = 3,912.40/x
  3. Step 3: Cross multiply
    9,755.20x = 14,630.10 × 3,912.40
  4. Step 4: Simplify right side
    9,755.20x = 57,238,803.24
  5. Step 5: Solve for x
    x = 57,238,803.24/9,755.20
  6. Step 6: Final answer
    x = 5,867.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.