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Finding the Fourth Proportional to 9,296.15, 12,824.97 and 5,938.09

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Solution

The fourth proportional to 9,296.15, 12,824.97 and 5,938.09 is: 8,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.15 : 12,824.97 = 5,938.09 : x
  2. Step 2: Convert to fraction form
    9,296.15/12,824.97 = 5,938.09/x
  3. Step 3: Cross multiply
    9,296.15x = 12,824.97 × 5,938.09
  4. Step 4: Simplify right side
    9,296.15x = 76,155,848.38
  5. Step 5: Solve for x
    x = 76,155,848.38/9,296.15
  6. Step 6: Final answer
    x = 8,192.19

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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.