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Finding the Fourth Proportional to 6,477, 9,716.67 and 4,287.54

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Solution

The fourth proportional to 6,477, 9,716.67 and 4,287.54 is: 6,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477 : 9,716.67 = 4,287.54 : x
  2. Step 2: Convert to fraction form
    6,477/9,716.67 = 4,287.54/x
  3. Step 3: Cross multiply
    6,477x = 9,716.67 × 4,287.54
  4. Step 4: Simplify right side
    6,477x = 41,660,611.29
  5. Step 5: Solve for x
    x = 41,660,611.29/6,477
  6. Step 6: Final answer
    x = 6,432.08

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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.