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Finding the Fourth Proportional to 9,241.38, 13,858.38 and 5,348.52

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Solution

The fourth proportional to 9,241.38, 13,858.38 and 5,348.52 is: 8,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.38 : 13,858.38 = 5,348.52 : x
  2. Step 2: Convert to fraction form
    9,241.38/13,858.38 = 5,348.52/x
  3. Step 3: Cross multiply
    9,241.38x = 13,858.38 × 5,348.52
  4. Step 4: Simplify right side
    9,241.38x = 74,121,822.60
  5. Step 5: Solve for x
    x = 74,121,822.60/9,241.38
  6. Step 6: Final answer
    x = 8,020.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.