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Finding the Fourth Proportional to 6,727, 9,283.26 and 3,932.50

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Solution

The fourth proportional to 6,727, 9,283.26 and 3,932.50 is: 5,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727 : 9,283.26 = 3,932.50 : x
  2. Step 2: Convert to fraction form
    6,727/9,283.26 = 3,932.50/x
  3. Step 3: Cross multiply
    6,727x = 9,283.26 × 3,932.50
  4. Step 4: Simplify right side
    6,727x = 36,506,419.95
  5. Step 5: Solve for x
    x = 36,506,419.95/6,727
  6. Step 6: Final answer
    x = 5,426.85

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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.