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Finding the Fourth Proportional to 9,850.50, 13,593.69 and 5,661.18

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Solution

The fourth proportional to 9,850.50, 13,593.69 and 5,661.18 is: 7,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.50 : 13,593.69 = 5,661.18 : x
  2. Step 2: Convert to fraction form
    9,850.50/13,593.69 = 5,661.18/x
  3. Step 3: Cross multiply
    9,850.50x = 13,593.69 × 5,661.18
  4. Step 4: Simplify right side
    9,850.50x = 76,956,325.95
  5. Step 5: Solve for x
    x = 76,956,325.95/9,850.50
  6. Step 6: Final answer
    x = 7,812.43

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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.