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Finding the Fourth Proportional to 6,928.28, 9,563.01 and 4,096.13

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Solution

The fourth proportional to 6,928.28, 9,563.01 and 4,096.13 is: 5,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.28 : 9,563.01 = 4,096.13 : x
  2. Step 2: Convert to fraction form
    6,928.28/9,563.01 = 4,096.13/x
  3. Step 3: Cross multiply
    6,928.28x = 9,563.01 × 4,096.13
  4. Step 4: Simplify right side
    6,928.28x = 39,171,332.15
  5. Step 5: Solve for x
    x = 39,171,332.15/6,928.28
  6. Step 6: Final answer
    x = 5,653.83

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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.