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Finding the Fourth Proportional to 6,092.60, 9,144.30 and 5,217.80

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Solution

The fourth proportional to 6,092.60, 9,144.30 and 5,217.80 is: 7,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.60 : 9,144.30 = 5,217.80 : x
  2. Step 2: Convert to fraction form
    6,092.60/9,144.30 = 5,217.80/x
  3. Step 3: Cross multiply
    6,092.60x = 9,144.30 × 5,217.80
  4. Step 4: Simplify right side
    6,092.60x = 47,713,128.54
  5. Step 5: Solve for x
    x = 47,713,128.54/6,092.60
  6. Step 6: Final answer
    x = 7,831.32

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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.