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Finding the Fourth Proportional to 10,947.64, 16,336.03 and 9,769.54

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Solution

The fourth proportional to 10,947.64, 16,336.03 and 9,769.54 is: 14,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.64 : 16,336.03 = 9,769.54 : x
  2. Step 2: Convert to fraction form
    10,947.64/16,336.03 = 9,769.54/x
  3. Step 3: Cross multiply
    10,947.64x = 16,336.03 × 9,769.54
  4. Step 4: Simplify right side
    10,947.64x = 159,595,368.00
  5. Step 5: Solve for x
    x = 159,595,368.00/10,947.64
  6. Step 6: Final answer
    x = 14,578.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.