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Finding the Fourth Proportional to 10,709.27, 14,769.14 and 6,928.50

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Solution

The fourth proportional to 10,709.27, 14,769.14 and 6,928.50 is: 9,555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.27 : 14,769.14 = 6,928.50 : x
  2. Step 2: Convert to fraction form
    10,709.27/14,769.14 = 6,928.50/x
  3. Step 3: Cross multiply
    10,709.27x = 14,769.14 × 6,928.50
  4. Step 4: Simplify right side
    10,709.27x = 102,327,912.64
  5. Step 5: Solve for x
    x = 102,327,912.64/10,709.27
  6. Step 6: Final answer
    x = 9,555.08

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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.