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Finding the Fourth Proportional to 9,329.67, 12,874.70 and 5,080.82

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Solution

The fourth proportional to 9,329.67, 12,874.70 and 5,080.82 is: 7,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.67 : 12,874.70 = 5,080.82 : x
  2. Step 2: Convert to fraction form
    9,329.67/12,874.70 = 5,080.82/x
  3. Step 3: Cross multiply
    9,329.67x = 12,874.70 × 5,080.82
  4. Step 4: Simplify right side
    9,329.67x = 65,413,943.48
  5. Step 5: Solve for x
    x = 65,413,943.48/9,329.67
  6. Step 6: Final answer
    x = 7,011.39

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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.