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Finding the Fourth Proportional to 6,118.26, 9,218.17 and 5,533.92

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Solution

The fourth proportional to 6,118.26, 9,218.17 and 5,533.92 is: 8,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.26 : 9,218.17 = 5,533.92 : x
  2. Step 2: Convert to fraction form
    6,118.26/9,218.17 = 5,533.92/x
  3. Step 3: Cross multiply
    6,118.26x = 9,218.17 × 5,533.92
  4. Step 4: Simplify right side
    6,118.26x = 51,012,615.33
  5. Step 5: Solve for x
    x = 51,012,615.33/6,118.26
  6. Step 6: Final answer
    x = 8,337.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.