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Finding the Fourth Proportional to 6,847.02, 9,449.86 and 3,863.13

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Solution

The fourth proportional to 6,847.02, 9,449.86 and 3,863.13 is: 5,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.02 : 9,449.86 = 3,863.13 : x
  2. Step 2: Convert to fraction form
    6,847.02/9,449.86 = 3,863.13/x
  3. Step 3: Cross multiply
    6,847.02x = 9,449.86 × 3,863.13
  4. Step 4: Simplify right side
    6,847.02x = 36,506,037.66
  5. Step 5: Solve for x
    x = 36,506,037.66/6,847.02
  6. Step 6: Final answer
    x = 5,331.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.