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Finding the Fourth Proportional to 7,170.45, 9,893.49 and 4,184.58

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Solution

The fourth proportional to 7,170.45, 9,893.49 and 4,184.58 is: 5,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.45 : 9,893.49 = 4,184.58 : x
  2. Step 2: Convert to fraction form
    7,170.45/9,893.49 = 4,184.58/x
  3. Step 3: Cross multiply
    7,170.45x = 9,893.49 × 4,184.58
  4. Step 4: Simplify right side
    7,170.45x = 41,400,100.38
  5. Step 5: Solve for x
    x = 41,400,100.38/7,170.45
  6. Step 6: Final answer
    x = 5,773.71

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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.