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Finding the Fourth Proportional to 9,774, 14,672.75 and 8,233.38

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Solution

The fourth proportional to 9,774, 14,672.75 and 8,233.38 is: 12,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 14,672.75 = 8,233.38 : x
  2. Step 2: Convert to fraction form
    9,774/14,672.75 = 8,233.38/x
  3. Step 3: Cross multiply
    9,774x = 14,672.75 × 8,233.38
  4. Step 4: Simplify right side
    9,774x = 120,806,285.23
  5. Step 5: Solve for x
    x = 120,806,285.23/9,774
  6. Step 6: Final answer
    x = 12,359.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.