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Finding the Fourth Proportional to 9,454.51, 14,183.93 and 2,880.82

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Solution

The fourth proportional to 9,454.51, 14,183.93 and 2,880.82 is: 4,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.51 : 14,183.93 = 2,880.82 : x
  2. Step 2: Convert to fraction form
    9,454.51/14,183.93 = 2,880.82/x
  3. Step 3: Cross multiply
    9,454.51x = 14,183.93 × 2,880.82
  4. Step 4: Simplify right side
    9,454.51x = 40,861,349.22
  5. Step 5: Solve for x
    x = 40,861,349.22/9,454.51
  6. Step 6: Final answer
    x = 4,321.89

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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.