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Finding the Fourth Proportional to 9,321.57, 12,864.83 and 5,343.39

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Solution

The fourth proportional to 9,321.57, 12,864.83 and 5,343.39 is: 7,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.57 : 12,864.83 = 5,343.39 : x
  2. Step 2: Convert to fraction form
    9,321.57/12,864.83 = 5,343.39/x
  3. Step 3: Cross multiply
    9,321.57x = 12,864.83 × 5,343.39
  4. Step 4: Simplify right side
    9,321.57x = 68,741,777.26
  5. Step 5: Solve for x
    x = 68,741,777.26/9,321.57
  6. Step 6: Final answer
    x = 7,374.48

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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.