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Finding the Fourth Proportional to 9,792.33, 14,688.38 and 3,218.43

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Solution

The fourth proportional to 9,792.33, 14,688.38 and 3,218.43 is: 4,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.33 : 14,688.38 = 3,218.43 : x
  2. Step 2: Convert to fraction form
    9,792.33/14,688.38 = 3,218.43/x
  3. Step 3: Cross multiply
    9,792.33x = 14,688.38 × 3,218.43
  4. Step 4: Simplify right side
    9,792.33x = 47,273,506.75
  5. Step 5: Solve for x
    x = 47,273,506.75/9,792.33
  6. Step 6: Final answer
    x = 4,827.61

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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.