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Finding the Fourth Proportional to 9,942.57, 13,720.44 and 5,693.49

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Solution

The fourth proportional to 9,942.57, 13,720.44 and 5,693.49 is: 7,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.57 : 13,720.44 = 5,693.49 : x
  2. Step 2: Convert to fraction form
    9,942.57/13,720.44 = 5,693.49/x
  3. Step 3: Cross multiply
    9,942.57x = 13,720.44 × 5,693.49
  4. Step 4: Simplify right side
    9,942.57x = 78,117,119.33
  5. Step 5: Solve for x
    x = 78,117,119.33/9,942.57
  6. Step 6: Final answer
    x = 7,856.84

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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.