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Finding the Fourth Proportional to 9,265.29, 12,788.09 and 5,907.33

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Solution

The fourth proportional to 9,265.29, 12,788.09 and 5,907.33 is: 8,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.29 : 12,788.09 = 5,907.33 : x
  2. Step 2: Convert to fraction form
    9,265.29/12,788.09 = 5,907.33/x
  3. Step 3: Cross multiply
    9,265.29x = 12,788.09 × 5,907.33
  4. Step 4: Simplify right side
    9,265.29x = 75,543,467.70
  5. Step 5: Solve for x
    x = 75,543,467.70/9,265.29
  6. Step 6: Final answer
    x = 8,153.38

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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.