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Finding the Fourth Proportional to 9,245.28, 13,860 and 6,314.88

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Solution

The fourth proportional to 9,245.28, 13,860 and 6,314.88 is: 9,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.28 : 13,860 = 6,314.88 : x
  2. Step 2: Convert to fraction form
    9,245.28/13,860 = 6,314.88/x
  3. Step 3: Cross multiply
    9,245.28x = 13,860 × 6,314.88
  4. Step 4: Simplify right side
    9,245.28x = 87,524,236.80
  5. Step 5: Solve for x
    x = 87,524,236.80/9,245.28
  6. Step 6: Final answer
    x = 9,466.91

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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.