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Finding the Fourth Proportional to 9,456.08, 14,183.86 and 2,882

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Solution

The fourth proportional to 9,456.08, 14,183.86 and 2,882 is: 4,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.08 : 14,183.86 = 2,882 : x
  2. Step 2: Convert to fraction form
    9,456.08/14,183.86 = 2,882/x
  3. Step 3: Cross multiply
    9,456.08x = 14,183.86 × 2,882
  4. Step 4: Simplify right side
    9,456.08x = 40,877,884.52
  5. Step 5: Solve for x
    x = 40,877,884.52/9,456.08
  6. Step 6: Final answer
    x = 4,322.92

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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.