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Finding the Fourth Proportional to 9,769.28, 13,487.76 and 6,784.16

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Solution

The fourth proportional to 9,769.28, 13,487.76 and 6,784.16 is: 9,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.28 : 13,487.76 = 6,784.16 : x
  2. Step 2: Convert to fraction form
    9,769.28/13,487.76 = 6,784.16/x
  3. Step 3: Cross multiply
    9,769.28x = 13,487.76 × 6,784.16
  4. Step 4: Simplify right side
    9,769.28x = 91,503,121.88
  5. Step 5: Solve for x
    x = 91,503,121.88/9,769.28
  6. Step 6: Final answer
    x = 9,366.41

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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.