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Finding the Fourth Proportional to 6,213.36, 9,339.24 and 5,906.16

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Solution

The fourth proportional to 6,213.36, 9,339.24 and 5,906.16 is: 8,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.36 : 9,339.24 = 5,906.16 : x
  2. Step 2: Convert to fraction form
    6,213.36/9,339.24 = 5,906.16/x
  3. Step 3: Cross multiply
    6,213.36x = 9,339.24 × 5,906.16
  4. Step 4: Simplify right side
    6,213.36x = 55,159,045.72
  5. Step 5: Solve for x
    x = 55,159,045.72/6,213.36
  6. Step 6: Final answer
    x = 8,877.49

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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.