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Finding the Fourth Proportional to 9,314.58, 13,955.43 and 9,084.96

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Solution

The fourth proportional to 9,314.58, 13,955.43 and 9,084.96 is: 13,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.58 : 13,955.43 = 9,084.96 : x
  2. Step 2: Convert to fraction form
    9,314.58/13,955.43 = 9,084.96/x
  3. Step 3: Cross multiply
    9,314.58x = 13,955.43 × 9,084.96
  4. Step 4: Simplify right side
    9,314.58x = 126,784,523.33
  5. Step 5: Solve for x
    x = 126,784,523.33/9,314.58
  6. Step 6: Final answer
    x = 13,611.41

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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.