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Finding the Fourth Proportional to 6,542.80, 9,025.22 and 4,116.31

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Solution

The fourth proportional to 6,542.80, 9,025.22 and 4,116.31 is: 5,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.80 : 9,025.22 = 4,116.31 : x
  2. Step 2: Convert to fraction form
    6,542.80/9,025.22 = 4,116.31/x
  3. Step 3: Cross multiply
    6,542.80x = 9,025.22 × 4,116.31
  4. Step 4: Simplify right side
    6,542.80x = 37,150,537.63
  5. Step 5: Solve for x
    x = 37,150,537.63/6,542.80
  6. Step 6: Final answer
    x = 5,678.08

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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.