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Finding the Fourth Proportional to 6,847.63, 9,449.85 and 4,017.16

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Solution

The fourth proportional to 6,847.63, 9,449.85 and 4,017.16 is: 5,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.63 : 9,449.85 = 4,017.16 : x
  2. Step 2: Convert to fraction form
    6,847.63/9,449.85 = 4,017.16/x
  3. Step 3: Cross multiply
    6,847.63x = 9,449.85 × 4,017.16
  4. Step 4: Simplify right side
    6,847.63x = 37,961,586.30
  5. Step 5: Solve for x
    x = 37,961,586.30/6,847.63
  6. Step 6: Final answer
    x = 5,543.76

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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.