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Finding the Fourth Proportional to 7,128.64, 9,837.84 and 3,984.83

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Solution

The fourth proportional to 7,128.64, 9,837.84 and 3,984.83 is: 5,499.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.64 : 9,837.84 = 3,984.83 : x
  2. Step 2: Convert to fraction form
    7,128.64/9,837.84 = 3,984.83/x
  3. Step 3: Cross multiply
    7,128.64x = 9,837.84 × 3,984.83
  4. Step 4: Simplify right side
    7,128.64x = 39,202,119.97
  5. Step 5: Solve for x
    x = 39,202,119.97/7,128.64
  6. Step 6: Final answer
    x = 5,499.24

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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.