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Finding the Fourth Proportional to 9,600.40, 14,400.60 and 8,579.80

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Solution

The fourth proportional to 9,600.40, 14,400.60 and 8,579.80 is: 12,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.40 : 14,400.60 = 8,579.80 : x
  2. Step 2: Convert to fraction form
    9,600.40/14,400.60 = 8,579.80/x
  3. Step 3: Cross multiply
    9,600.40x = 14,400.60 × 8,579.80
  4. Step 4: Simplify right side
    9,600.40x = 123,554,267.88
  5. Step 5: Solve for x
    x = 123,554,267.88/9,600.40
  6. Step 6: Final answer
    x = 12,869.70

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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.