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Finding the Fourth Proportional to 9,928.92, 13,703.49 and 5,739.60

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Solution

The fourth proportional to 9,928.92, 13,703.49 and 5,739.60 is: 7,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.92 : 13,703.49 = 5,739.60 : x
  2. Step 2: Convert to fraction form
    9,928.92/13,703.49 = 5,739.60/x
  3. Step 3: Cross multiply
    9,928.92x = 13,703.49 × 5,739.60
  4. Step 4: Simplify right side
    9,928.92x = 78,652,551.20
  5. Step 5: Solve for x
    x = 78,652,551.20/9,928.92
  6. Step 6: Final answer
    x = 7,921.56

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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.