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Finding the Fourth Proportional to 9,792.09, 13,515.93 and 5,965.11

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Solution

The fourth proportional to 9,792.09, 13,515.93 and 5,965.11 is: 8,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.09 : 13,515.93 = 5,965.11 : x
  2. Step 2: Convert to fraction form
    9,792.09/13,515.93 = 5,965.11/x
  3. Step 3: Cross multiply
    9,792.09x = 13,515.93 × 5,965.11
  4. Step 4: Simplify right side
    9,792.09x = 80,624,009.20
  5. Step 5: Solve for x
    x = 80,624,009.20/9,792.09
  6. Step 6: Final answer
    x = 8,233.59

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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.