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Finding the Fourth Proportional to 9,454.86, 14,183.91 and 2,880.90

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Solution

The fourth proportional to 9,454.86, 14,183.91 and 2,880.90 is: 4,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.86 : 14,183.91 = 2,880.90 : x
  2. Step 2: Convert to fraction form
    9,454.86/14,183.91 = 2,880.90/x
  3. Step 3: Cross multiply
    9,454.86x = 14,183.91 × 2,880.90
  4. Step 4: Simplify right side
    9,454.86x = 40,862,426.32
  5. Step 5: Solve for x
    x = 40,862,426.32/9,454.86
  6. Step 6: Final answer
    x = 4,321.84

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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.