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Finding the Fourth Proportional to 9,331.74, 12,876.44 and 5,297.94

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Solution

The fourth proportional to 9,331.74, 12,876.44 and 5,297.94 is: 7,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.74 : 12,876.44 = 5,297.94 : x
  2. Step 2: Convert to fraction form
    9,331.74/12,876.44 = 5,297.94/x
  3. Step 3: Cross multiply
    9,331.74x = 12,876.44 × 5,297.94
  4. Step 4: Simplify right side
    9,331.74x = 68,218,606.53
  5. Step 5: Solve for x
    x = 68,218,606.53/9,331.74
  6. Step 6: Final answer
    x = 7,310.38

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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.