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Finding the Fourth Proportional to 9,183.60, 12,669.03 and 6,200.40

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Solution

The fourth proportional to 9,183.60, 12,669.03 and 6,200.40 is: 8,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.60 : 12,669.03 = 6,200.40 : x
  2. Step 2: Convert to fraction form
    9,183.60/12,669.03 = 6,200.40/x
  3. Step 3: Cross multiply
    9,183.60x = 12,669.03 × 6,200.40
  4. Step 4: Simplify right side
    9,183.60x = 78,553,053.61
  5. Step 5: Solve for x
    x = 78,553,053.61/9,183.60
  6. Step 6: Final answer
    x = 8,553.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.