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Finding the Fourth Proportional to 7,128.56, 9,836.96 and 3,941.77

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Solution

The fourth proportional to 7,128.56, 9,836.96 and 3,941.77 is: 5,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.56 : 9,836.96 = 3,941.77 : x
  2. Step 2: Convert to fraction form
    7,128.56/9,836.96 = 3,941.77/x
  3. Step 3: Cross multiply
    7,128.56x = 9,836.96 × 3,941.77
  4. Step 4: Simplify right side
    7,128.56x = 38,775,033.82
  5. Step 5: Solve for x
    x = 38,775,033.82/7,128.56
  6. Step 6: Final answer
    x = 5,439.39

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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.