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Finding the Fourth Proportional to 6,368.54, 9,540.38 and 4,170.61

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Solution

The fourth proportional to 6,368.54, 9,540.38 and 4,170.61 is: 6,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.54 : 9,540.38 = 4,170.61 : x
  2. Step 2: Convert to fraction form
    6,368.54/9,540.38 = 4,170.61/x
  3. Step 3: Cross multiply
    6,368.54x = 9,540.38 × 4,170.61
  4. Step 4: Simplify right side
    6,368.54x = 39,789,172.92
  5. Step 5: Solve for x
    x = 39,789,172.92/6,368.54
  6. Step 6: Final answer
    x = 6,247.77

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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.