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Finding the Fourth Proportional to 6,306.18, 9,459.27 and 2,839.38

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Solution

The fourth proportional to 6,306.18, 9,459.27 and 2,839.38 is: 4,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.18 : 9,459.27 = 2,839.38 : x
  2. Step 2: Convert to fraction form
    6,306.18/9,459.27 = 2,839.38/x
  3. Step 3: Cross multiply
    6,306.18x = 9,459.27 × 2,839.38
  4. Step 4: Simplify right side
    6,306.18x = 26,858,462.05
  5. Step 5: Solve for x
    x = 26,858,462.05/6,306.18
  6. Step 6: Final answer
    x = 4,259.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.