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Finding the Fourth Proportional to 9,600.10, 14,400.60 and 3,026.79

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Solution

The fourth proportional to 9,600.10, 14,400.60 and 3,026.79 is: 4,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.10 : 14,400.60 = 3,026.79 : x
  2. Step 2: Convert to fraction form
    9,600.10/14,400.60 = 3,026.79/x
  3. Step 3: Cross multiply
    9,600.10x = 14,400.60 × 3,026.79
  4. Step 4: Simplify right side
    9,600.10x = 43,587,628.08
  5. Step 5: Solve for x
    x = 43,587,628.08/9,600.10
  6. Step 6: Final answer
    x = 4,540.33

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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.