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Finding the Fourth Proportional to 9,845.42, 13,591.23 and 6,069.26

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Solution

The fourth proportional to 9,845.42, 13,591.23 and 6,069.26 is: 8,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.42 : 13,591.23 = 6,069.26 : x
  2. Step 2: Convert to fraction form
    9,845.42/13,591.23 = 6,069.26/x
  3. Step 3: Cross multiply
    9,845.42x = 13,591.23 × 6,069.26
  4. Step 4: Simplify right side
    9,845.42x = 82,488,708.59
  5. Step 5: Solve for x
    x = 82,488,708.59/9,845.42
  6. Step 6: Final answer
    x = 8,378.38

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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.