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Finding the Fourth Proportional to 6,542.31, 9,025.27 and 4,023.39

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Solution

The fourth proportional to 6,542.31, 9,025.27 and 4,023.39 is: 5,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.31 : 9,025.27 = 4,023.39 : x
  2. Step 2: Convert to fraction form
    6,542.31/9,025.27 = 4,023.39/x
  3. Step 3: Cross multiply
    6,542.31x = 9,025.27 × 4,023.39
  4. Step 4: Simplify right side
    6,542.31x = 36,312,181.07
  5. Step 5: Solve for x
    x = 36,312,181.07/6,542.31
  6. Step 6: Final answer
    x = 5,550.36

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Why These Related Problems?

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