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Finding the Fourth Proportional to 9,359.50, 12,916.11 and 5,167.78

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Solution

The fourth proportional to 9,359.50, 12,916.11 and 5,167.78 is: 7,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.50 : 12,916.11 = 5,167.78 : x
  2. Step 2: Convert to fraction form
    9,359.50/12,916.11 = 5,167.78/x
  3. Step 3: Cross multiply
    9,359.50x = 12,916.11 × 5,167.78
  4. Step 4: Simplify right side
    9,359.50x = 66,747,614.94
  5. Step 5: Solve for x
    x = 66,747,614.94/9,359.50
  6. Step 6: Final answer
    x = 7,131.54

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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.