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Finding the Fourth Proportional to 6,538.12, 9,025.22 and 4,021.25

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Solution

The fourth proportional to 6,538.12, 9,025.22 and 4,021.25 is: 5,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.12 : 9,025.22 = 4,021.25 : x
  2. Step 2: Convert to fraction form
    6,538.12/9,025.22 = 4,021.25/x
  3. Step 3: Cross multiply
    6,538.12x = 9,025.22 × 4,021.25
  4. Step 4: Simplify right side
    6,538.12x = 36,292,630.85
  5. Step 5: Solve for x
    x = 36,292,630.85/6,538.12
  6. Step 6: Final answer
    x = 5,550.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.