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Finding the Fourth Proportional to 6,542.48, 9,789.47 and 3,911.44

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Solution

The fourth proportional to 6,542.48, 9,789.47 and 3,911.44 is: 5,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.48 : 9,789.47 = 3,911.44 : x
  2. Step 2: Convert to fraction form
    6,542.48/9,789.47 = 3,911.44/x
  3. Step 3: Cross multiply
    6,542.48x = 9,789.47 × 3,911.44
  4. Step 4: Simplify right side
    6,542.48x = 38,290,924.54
  5. Step 5: Solve for x
    x = 38,290,924.54/6,542.48
  6. Step 6: Final answer
    x = 5,852.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.