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Finding the Fourth Proportional to 7,128.80, 9,836.34 and 3,984.38

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Solution

The fourth proportional to 7,128.80, 9,836.34 and 3,984.38 is: 5,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.80 : 9,836.34 = 3,984.38 : x
  2. Step 2: Convert to fraction form
    7,128.80/9,836.34 = 3,984.38/x
  3. Step 3: Cross multiply
    7,128.80x = 9,836.34 × 3,984.38
  4. Step 4: Simplify right side
    7,128.80x = 39,191,716.37
  5. Step 5: Solve for x
    x = 39,191,716.37/7,128.80
  6. Step 6: Final answer
    x = 5,497.66

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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.