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Finding the Fourth Proportional to 9,310.40, 12,843.26 and 5,901.16

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Solution

The fourth proportional to 9,310.40, 12,843.26 and 5,901.16 is: 8,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.40 : 12,843.26 = 5,901.16 : x
  2. Step 2: Convert to fraction form
    9,310.40/12,843.26 = 5,901.16/x
  3. Step 3: Cross multiply
    9,310.40x = 12,843.26 × 5,901.16
  4. Step 4: Simplify right side
    9,310.40x = 75,790,132.18
  5. Step 5: Solve for x
    x = 75,790,132.18/9,310.40
  6. Step 6: Final answer
    x = 8,140.37

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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.