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Finding the Fourth Proportional to 9,805.81, 13,527.39 and 5,824.66

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Solution

The fourth proportional to 9,805.81, 13,527.39 and 5,824.66 is: 8,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.81 : 13,527.39 = 5,824.66 : x
  2. Step 2: Convert to fraction form
    9,805.81/13,527.39 = 5,824.66/x
  3. Step 3: Cross multiply
    9,805.81x = 13,527.39 × 5,824.66
  4. Step 4: Simplify right side
    9,805.81x = 78,792,447.44
  5. Step 5: Solve for x
    x = 78,792,447.44/9,805.81
  6. Step 6: Final answer
    x = 8,035.28

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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.