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Finding the Fourth Proportional to 9,491.24, 14,236.94 and 8,777

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Solution

The fourth proportional to 9,491.24, 14,236.94 and 8,777 is: 13,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.24 : 14,236.94 = 8,777 : x
  2. Step 2: Convert to fraction form
    9,491.24/14,236.94 = 8,777/x
  3. Step 3: Cross multiply
    9,491.24x = 14,236.94 × 8,777
  4. Step 4: Simplify right side
    9,491.24x = 124,957,622.38
  5. Step 5: Solve for x
    x = 124,957,622.38/9,491.24
  6. Step 6: Final answer
    x = 13,165.57

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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.