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Finding the Fourth Proportional to 9,975.35, 13,767.67 and 5,996.63

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Solution

The fourth proportional to 9,975.35, 13,767.67 and 5,996.63 is: 8,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.35 : 13,767.67 = 5,996.63 : x
  2. Step 2: Convert to fraction form
    9,975.35/13,767.67 = 5,996.63/x
  3. Step 3: Cross multiply
    9,975.35x = 13,767.67 × 5,996.63
  4. Step 4: Simplify right side
    9,975.35x = 82,559,664.87
  5. Step 5: Solve for x
    x = 82,559,664.87/9,975.35
  6. Step 6: Final answer
    x = 8,276.37

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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.