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Finding the Fourth Proportional to 9,374.89, 12,939.92 and 5,836

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Solution

The fourth proportional to 9,374.89, 12,939.92 and 5,836 is: 8,055.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.89 : 12,939.92 = 5,836 : x
  2. Step 2: Convert to fraction form
    9,374.89/12,939.92 = 5,836/x
  3. Step 3: Cross multiply
    9,374.89x = 12,939.92 × 5,836
  4. Step 4: Simplify right side
    9,374.89x = 75,517,343.94
  5. Step 5: Solve for x
    x = 75,517,343.94/9,374.89
  6. Step 6: Final answer
    x = 8,055.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.