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Finding the Fourth Proportional to 9,546.68, 14,322.05 and 2,883.42

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Solution

The fourth proportional to 9,546.68, 14,322.05 and 2,883.42 is: 4,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.68 : 14,322.05 = 2,883.42 : x
  2. Step 2: Convert to fraction form
    9,546.68/14,322.05 = 2,883.42/x
  3. Step 3: Cross multiply
    9,546.68x = 14,322.05 × 2,883.42
  4. Step 4: Simplify right side
    9,546.68x = 41,296,470.99
  5. Step 5: Solve for x
    x = 41,296,470.99/9,546.68
  6. Step 6: Final answer
    x = 4,325.74

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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.