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Finding the Fourth Proportional to 6,410.67, 9,605.07 and 5,178.66

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Solution

The fourth proportional to 6,410.67, 9,605.07 and 5,178.66 is: 7,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.67 : 9,605.07 = 5,178.66 : x
  2. Step 2: Convert to fraction form
    6,410.67/9,605.07 = 5,178.66/x
  3. Step 3: Cross multiply
    6,410.67x = 9,605.07 × 5,178.66
  4. Step 4: Simplify right side
    6,410.67x = 49,741,391.81
  5. Step 5: Solve for x
    x = 49,741,391.81/6,410.67
  6. Step 6: Final answer
    x = 7,759.16

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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.