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Finding the Fourth Proportional to 9,230.75, 13,823.50 and 8,343.23

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Solution

The fourth proportional to 9,230.75, 13,823.50 and 8,343.23 is: 12,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.75 : 13,823.50 = 8,343.23 : x
  2. Step 2: Convert to fraction form
    9,230.75/13,823.50 = 8,343.23/x
  3. Step 3: Cross multiply
    9,230.75x = 13,823.50 × 8,343.23
  4. Step 4: Simplify right side
    9,230.75x = 115,332,639.91
  5. Step 5: Solve for x
    x = 115,332,639.91/9,230.75
  6. Step 6: Final answer
    x = 12,494.40

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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.