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Finding the Fourth Proportional to 6,104.97, 8,419.95 and 4,114.80

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Solution

The fourth proportional to 6,104.97, 8,419.95 and 4,114.80 is: 5,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.97 : 8,419.95 = 4,114.80 : x
  2. Step 2: Convert to fraction form
    6,104.97/8,419.95 = 4,114.80/x
  3. Step 3: Cross multiply
    6,104.97x = 8,419.95 × 4,114.80
  4. Step 4: Simplify right side
    6,104.97x = 34,646,410.26
  5. Step 5: Solve for x
    x = 34,646,410.26/6,104.97
  6. Step 6: Final answer
    x = 5,675.12

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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.