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Finding the Fourth Proportional to 9,279.27, 13,911.75 and 6,309.99

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Solution

The fourth proportional to 9,279.27, 13,911.75 and 6,309.99 is: 9,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.27 : 13,911.75 = 6,309.99 : x
  2. Step 2: Convert to fraction form
    9,279.27/13,911.75 = 6,309.99/x
  3. Step 3: Cross multiply
    9,279.27x = 13,911.75 × 6,309.99
  4. Step 4: Simplify right side
    9,279.27x = 87,783,003.38
  5. Step 5: Solve for x
    x = 87,783,003.38/9,279.27
  6. Step 6: Final answer
    x = 9,460.12

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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.