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Finding the Fourth Proportional to 9,792.86, 13,515.81 and 5,816.12

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Solution

The fourth proportional to 9,792.86, 13,515.81 and 5,816.12 is: 8,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.86 : 13,515.81 = 5,816.12 : x
  2. Step 2: Convert to fraction form
    9,792.86/13,515.81 = 5,816.12/x
  3. Step 3: Cross multiply
    9,792.86x = 13,515.81 × 5,816.12
  4. Step 4: Simplify right side
    9,792.86x = 78,609,572.86
  5. Step 5: Solve for x
    x = 78,609,572.86/9,792.86
  6. Step 6: Final answer
    x = 8,027.23

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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.