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Finding the Fourth Proportional to 9,548.35, 14,294.81 and 5,839.27

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Solution

The fourth proportional to 9,548.35, 14,294.81 and 5,839.27 is: 8,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.35 : 14,294.81 = 5,839.27 : x
  2. Step 2: Convert to fraction form
    9,548.35/14,294.81 = 5,839.27/x
  3. Step 3: Cross multiply
    9,548.35x = 14,294.81 × 5,839.27
  4. Step 4: Simplify right side
    9,548.35x = 83,471,234.05
  5. Step 5: Solve for x
    x = 83,471,234.05/9,548.35
  6. Step 6: Final answer
    x = 8,741.96

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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.