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Finding the Fourth Proportional to 7,129, 9,838.02 and 3,986.02

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Solution

The fourth proportional to 7,129, 9,838.02 and 3,986.02 is: 5,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129 : 9,838.02 = 3,986.02 : x
  2. Step 2: Convert to fraction form
    7,129/9,838.02 = 3,986.02/x
  3. Step 3: Cross multiply
    7,129x = 9,838.02 × 3,986.02
  4. Step 4: Simplify right side
    7,129x = 39,214,544.48
  5. Step 5: Solve for x
    x = 39,214,544.48/7,129
  6. Step 6: Final answer
    x = 5,500.71

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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.