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Finding the Fourth Proportional to 9,113.91, 12,578.22 and 5,135.37

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Solution

The fourth proportional to 9,113.91, 12,578.22 and 5,135.37 is: 7,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.91 : 12,578.22 = 5,135.37 : x
  2. Step 2: Convert to fraction form
    9,113.91/12,578.22 = 5,135.37/x
  3. Step 3: Cross multiply
    9,113.91x = 12,578.22 × 5,135.37
  4. Step 4: Simplify right side
    9,113.91x = 64,593,813.64
  5. Step 5: Solve for x
    x = 64,593,813.64/9,113.91
  6. Step 6: Final answer
    x = 7,087.39

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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.