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Finding the Fourth Proportional to 6,782.42, 9,360.25 and 3,911.61

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Solution

The fourth proportional to 6,782.42, 9,360.25 and 3,911.61 is: 5,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.42 : 9,360.25 = 3,911.61 : x
  2. Step 2: Convert to fraction form
    6,782.42/9,360.25 = 3,911.61/x
  3. Step 3: Cross multiply
    6,782.42x = 9,360.25 × 3,911.61
  4. Step 4: Simplify right side
    6,782.42x = 36,613,602.62
  5. Step 5: Solve for x
    x = 36,613,602.62/6,782.42
  6. Step 6: Final answer
    x = 5,398.31

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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.