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Finding the Fourth Proportional to 9,231.41, 13,814.30 and 6,760.10

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Solution

The fourth proportional to 9,231.41, 13,814.30 and 6,760.10 is: 10,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.41 : 13,814.30 = 6,760.10 : x
  2. Step 2: Convert to fraction form
    9,231.41/13,814.30 = 6,760.10/x
  3. Step 3: Cross multiply
    9,231.41x = 13,814.30 × 6,760.10
  4. Step 4: Simplify right side
    9,231.41x = 93,386,049.43
  5. Step 5: Solve for x
    x = 93,386,049.43/9,231.41
  6. Step 6: Final answer
    x = 10,116.12

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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.