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Finding the Fourth Proportional to 9,928.72, 13,791.46 and 9,769.96

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Solution

The fourth proportional to 9,928.72, 13,791.46 and 9,769.96 is: 13,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.72 : 13,791.46 = 9,769.96 : x
  2. Step 2: Convert to fraction form
    9,928.72/13,791.46 = 9,769.96/x
  3. Step 3: Cross multiply
    9,928.72x = 13,791.46 × 9,769.96
  4. Step 4: Simplify right side
    9,928.72x = 134,742,012.54
  5. Step 5: Solve for x
    x = 134,742,012.54/9,928.72
  6. Step 6: Final answer
    x = 13,570.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.