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Finding the Fourth Proportional to 9,334.88, 14,004.36 and 3,096.80

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Solution

The fourth proportional to 9,334.88, 14,004.36 and 3,096.80 is: 4,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.88 : 14,004.36 = 3,096.80 : x
  2. Step 2: Convert to fraction form
    9,334.88/14,004.36 = 3,096.80/x
  3. Step 3: Cross multiply
    9,334.88x = 14,004.36 × 3,096.80
  4. Step 4: Simplify right side
    9,334.88x = 43,368,702.05
  5. Step 5: Solve for x
    x = 43,368,702.05/9,334.88
  6. Step 6: Final answer
    x = 4,645.88

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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.