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Finding the Fourth Proportional to 9,458.64, 14,183.46 and 2,883.06

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Solution

The fourth proportional to 9,458.64, 14,183.46 and 2,883.06 is: 4,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.64 : 14,183.46 = 2,883.06 : x
  2. Step 2: Convert to fraction form
    9,458.64/14,183.46 = 2,883.06/x
  3. Step 3: Cross multiply
    9,458.64x = 14,183.46 × 2,883.06
  4. Step 4: Simplify right side
    9,458.64x = 40,891,766.19
  5. Step 5: Solve for x
    x = 40,891,766.19/9,458.64
  6. Step 6: Final answer
    x = 4,323.22

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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.