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Finding the Fourth Proportional to 10,377.69, 14,324.27 and 7,234.89

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Solution

The fourth proportional to 10,377.69, 14,324.27 and 7,234.89 is: 9,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.69 : 14,324.27 = 7,234.89 : x
  2. Step 2: Convert to fraction form
    10,377.69/14,324.27 = 7,234.89/x
  3. Step 3: Cross multiply
    10,377.69x = 14,324.27 × 7,234.89
  4. Step 4: Simplify right side
    10,377.69x = 103,634,517.78
  5. Step 5: Solve for x
    x = 103,634,517.78/10,377.69
  6. Step 6: Final answer
    x = 9,986.28

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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.