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Finding the Fourth Proportional to 9,546.58, 13,172.19 and 9,231.94

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Solution

The fourth proportional to 9,546.58, 13,172.19 and 9,231.94 is: 12,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.58 : 13,172.19 = 9,231.94 : x
  2. Step 2: Convert to fraction form
    9,546.58/13,172.19 = 9,231.94/x
  3. Step 3: Cross multiply
    9,546.58x = 13,172.19 × 9,231.94
  4. Step 4: Simplify right side
    9,546.58x = 121,604,867.75
  5. Step 5: Solve for x
    x = 121,604,867.75/9,546.58
  6. Step 6: Final answer
    x = 12,738.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.