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Finding the Fourth Proportional to 9,792.75, 13,514.81 and 5,601.81

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Solution

The fourth proportional to 9,792.75, 13,514.81 and 5,601.81 is: 7,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.75 : 13,514.81 = 5,601.81 : x
  2. Step 2: Convert to fraction form
    9,792.75/13,514.81 = 5,601.81/x
  3. Step 3: Cross multiply
    9,792.75x = 13,514.81 × 5,601.81
  4. Step 4: Simplify right side
    9,792.75x = 75,707,369.80
  5. Step 5: Solve for x
    x = 75,707,369.80/9,792.75
  6. Step 6: Final answer
    x = 7,730.96

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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.