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Finding the Fourth Proportional to 9,984.68, 13,776.32 and 7,327.48

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Solution

The fourth proportional to 9,984.68, 13,776.32 and 7,327.48 is: 10,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.68 : 13,776.32 = 7,327.48 : x
  2. Step 2: Convert to fraction form
    9,984.68/13,776.32 = 7,327.48/x
  3. Step 3: Cross multiply
    9,984.68x = 13,776.32 × 7,327.48
  4. Step 4: Simplify right side
    9,984.68x = 100,945,709.27
  5. Step 5: Solve for x
    x = 100,945,709.27/9,984.68
  6. Step 6: Final answer
    x = 10,110.06

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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.