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Finding the Fourth Proportional to 9,600.45, 14,402.70 and 3,026.63

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Solution

The fourth proportional to 9,600.45, 14,402.70 and 3,026.63 is: 4,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.45 : 14,402.70 = 3,026.63 : x
  2. Step 2: Convert to fraction form
    9,600.45/14,402.70 = 3,026.63/x
  3. Step 3: Cross multiply
    9,600.45x = 14,402.70 × 3,026.63
  4. Step 4: Simplify right side
    9,600.45x = 43,591,571.89
  5. Step 5: Solve for x
    x = 43,591,571.89/9,600.45
  6. Step 6: Final answer
    x = 4,540.58

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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.