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Finding the Fourth Proportional to 6,116.70, 9,191.64 and 3,197.18

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Solution

The fourth proportional to 6,116.70, 9,191.64 and 3,197.18 is: 4,804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.70 : 9,191.64 = 3,197.18 : x
  2. Step 2: Convert to fraction form
    6,116.70/9,191.64 = 3,197.18/x
  3. Step 3: Cross multiply
    6,116.70x = 9,191.64 × 3,197.18
  4. Step 4: Simplify right side
    6,116.70x = 29,387,327.58
  5. Step 5: Solve for x
    x = 29,387,327.58/6,116.70
  6. Step 6: Final answer
    x = 4,804.44

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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.