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Finding the Fourth Proportional to 9,546.43, 14,316.22 and 3,304.75

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Solution

The fourth proportional to 9,546.43, 14,316.22 and 3,304.75 is: 4,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.43 : 14,316.22 = 3,304.75 : x
  2. Step 2: Convert to fraction form
    9,546.43/14,316.22 = 3,304.75/x
  3. Step 3: Cross multiply
    9,546.43x = 14,316.22 × 3,304.75
  4. Step 4: Simplify right side
    9,546.43x = 47,311,528.05
  5. Step 5: Solve for x
    x = 47,311,528.05/9,546.43
  6. Step 6: Final answer
    x = 4,955.94

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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.