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Finding the Fourth Proportional to 9,331.75, 12,877.91 and 5,140.09

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Solution

The fourth proportional to 9,331.75, 12,877.91 and 5,140.09 is: 7,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.75 : 12,877.91 = 5,140.09 : x
  2. Step 2: Convert to fraction form
    9,331.75/12,877.91 = 5,140.09/x
  3. Step 3: Cross multiply
    9,331.75x = 12,877.91 × 5,140.09
  4. Step 4: Simplify right side
    9,331.75x = 66,193,616.41
  5. Step 5: Solve for x
    x = 66,193,616.41/9,331.75
  6. Step 6: Final answer
    x = 7,093.38

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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.