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Finding the Fourth Proportional to 6,831.22, 9,426.98 and 4,000.54

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Solution

The fourth proportional to 6,831.22, 9,426.98 and 4,000.54 is: 5,520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.22 : 9,426.98 = 4,000.54 : x
  2. Step 2: Convert to fraction form
    6,831.22/9,426.98 = 4,000.54/x
  3. Step 3: Cross multiply
    6,831.22x = 9,426.98 × 4,000.54
  4. Step 4: Simplify right side
    6,831.22x = 37,713,010.57
  5. Step 5: Solve for x
    x = 37,713,010.57/6,831.22
  6. Step 6: Final answer
    x = 5,520.68

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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.