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Finding the Fourth Proportional to 6,912.04, 9,538.80 and 3,928

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Solution

The fourth proportional to 6,912.04, 9,538.80 and 3,928 is: 5,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.04 : 9,538.80 = 3,928 : x
  2. Step 2: Convert to fraction form
    6,912.04/9,538.80 = 3,928/x
  3. Step 3: Cross multiply
    6,912.04x = 9,538.80 × 3,928
  4. Step 4: Simplify right side
    6,912.04x = 37,468,406.40
  5. Step 5: Solve for x
    x = 37,468,406.40/6,912.04
  6. Step 6: Final answer
    x = 5,420.75

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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.