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Finding the Fourth Proportional to 9,313.28, 12,857.64 and 6,173.72

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Solution

The fourth proportional to 9,313.28, 12,857.64 and 6,173.72 is: 8,523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.28 : 12,857.64 = 6,173.72 : x
  2. Step 2: Convert to fraction form
    9,313.28/12,857.64 = 6,173.72/x
  3. Step 3: Cross multiply
    9,313.28x = 12,857.64 × 6,173.72
  4. Step 4: Simplify right side
    9,313.28x = 79,379,469.22
  5. Step 5: Solve for x
    x = 79,379,469.22/9,313.28
  6. Step 6: Final answer
    x = 8,523.26

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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.