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Finding the Fourth Proportional to 6,485.48, 9,715.91 and 3,847.41

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Solution

The fourth proportional to 6,485.48, 9,715.91 and 3,847.41 is: 5,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.48 : 9,715.91 = 3,847.41 : x
  2. Step 2: Convert to fraction form
    6,485.48/9,715.91 = 3,847.41/x
  3. Step 3: Cross multiply
    6,485.48x = 9,715.91 × 3,847.41
  4. Step 4: Simplify right side
    6,485.48x = 37,381,081.96
  5. Step 5: Solve for x
    x = 37,381,081.96/6,485.48
  6. Step 6: Final answer
    x = 5,763.81

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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.