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Finding the Fourth Proportional to 6,122.88, 9,225.12 and 5,538.54

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Solution

The fourth proportional to 6,122.88, 9,225.12 and 5,538.54 is: 8,344.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.88 : 9,225.12 = 5,538.54 : x
  2. Step 2: Convert to fraction form
    6,122.88/9,225.12 = 5,538.54/x
  3. Step 3: Cross multiply
    6,122.88x = 9,225.12 × 5,538.54
  4. Step 4: Simplify right side
    6,122.88x = 51,093,696.12
  5. Step 5: Solve for x
    x = 51,093,696.12/6,122.88
  6. Step 6: Final answer
    x = 8,344.72

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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.