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Finding the Fourth Proportional to 6,475.09, 9,715.68 and 3,190.96

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Solution

The fourth proportional to 6,475.09, 9,715.68 and 3,190.96 is: 4,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.09 : 9,715.68 = 3,190.96 : x
  2. Step 2: Convert to fraction form
    6,475.09/9,715.68 = 3,190.96/x
  3. Step 3: Cross multiply
    6,475.09x = 9,715.68 × 3,190.96
  4. Step 4: Simplify right side
    6,475.09x = 31,002,346.25
  5. Step 5: Solve for x
    x = 31,002,346.25/6,475.09
  6. Step 6: Final answer
    x = 4,787.94

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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.