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Finding the Fourth Proportional to 6,122.97, 8,449.60 and 3,434.17

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Solution

The fourth proportional to 6,122.97, 8,449.60 and 3,434.17 is: 4,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.97 : 8,449.60 = 3,434.17 : x
  2. Step 2: Convert to fraction form
    6,122.97/8,449.60 = 3,434.17/x
  3. Step 3: Cross multiply
    6,122.97x = 8,449.60 × 3,434.17
  4. Step 4: Simplify right side
    6,122.97x = 29,017,364.81
  5. Step 5: Solve for x
    x = 29,017,364.81/6,122.97
  6. Step 6: Final answer
    x = 4,739.10

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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.