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Finding the Fourth Proportional to 9,458.83, 14,190.29 and 2,884.82

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Solution

The fourth proportional to 9,458.83, 14,190.29 and 2,884.82 is: 4,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.83 : 14,190.29 = 2,884.82 : x
  2. Step 2: Convert to fraction form
    9,458.83/14,190.29 = 2,884.82/x
  3. Step 3: Cross multiply
    9,458.83x = 14,190.29 × 2,884.82
  4. Step 4: Simplify right side
    9,458.83x = 40,936,357.84
  5. Step 5: Solve for x
    x = 40,936,357.84/9,458.83
  6. Step 6: Final answer
    x = 4,327.85

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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.