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Finding the Fourth Proportional to 9,229.84, 13,831.80 and 6,922.96

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Solution

The fourth proportional to 9,229.84, 13,831.80 and 6,922.96 is: 10,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.84 : 13,831.80 = 6,922.96 : x
  2. Step 2: Convert to fraction form
    9,229.84/13,831.80 = 6,922.96/x
  3. Step 3: Cross multiply
    9,229.84x = 13,831.80 × 6,922.96
  4. Step 4: Simplify right side
    9,229.84x = 95,756,998.13
  5. Step 5: Solve for x
    x = 95,756,998.13/9,229.84
  6. Step 6: Final answer
    x = 10,374.72

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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.