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Finding the Fourth Proportional to 6,831.90, 9,407.67 and 6,335.73

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Solution

The fourth proportional to 6,831.90, 9,407.67 and 6,335.73 is: 8,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.90 : 9,407.67 = 6,335.73 : x
  2. Step 2: Convert to fraction form
    6,831.90/9,407.67 = 6,335.73/x
  3. Step 3: Cross multiply
    6,831.90x = 9,407.67 × 6,335.73
  4. Step 4: Simplify right side
    6,831.90x = 59,604,457.05
  5. Step 5: Solve for x
    x = 59,604,457.05/6,831.90
  6. Step 6: Final answer
    x = 8,724.43

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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.