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Finding the Fourth Proportional to 6,824.39, 9,407.44 and 4,170.02

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Solution

The fourth proportional to 6,824.39, 9,407.44 and 4,170.02 is: 5,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.39 : 9,407.44 = 4,170.02 : x
  2. Step 2: Convert to fraction form
    6,824.39/9,407.44 = 4,170.02/x
  3. Step 3: Cross multiply
    6,824.39x = 9,407.44 × 4,170.02
  4. Step 4: Simplify right side
    6,824.39x = 39,229,171.12
  5. Step 5: Solve for x
    x = 39,229,171.12/6,824.39
  6. Step 6: Final answer
    x = 5,748.38

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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.