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Finding the Fourth Proportional to 6,111.40, 9,167.10 and 3,804.20

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Solution

The fourth proportional to 6,111.40, 9,167.10 and 3,804.20 is: 5,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.40 : 9,167.10 = 3,804.20 : x
  2. Step 2: Convert to fraction form
    6,111.40/9,167.10 = 3,804.20/x
  3. Step 3: Cross multiply
    6,111.40x = 9,167.10 × 3,804.20
  4. Step 4: Simplify right side
    6,111.40x = 34,873,481.82
  5. Step 5: Solve for x
    x = 34,873,481.82/6,111.40
  6. Step 6: Final answer
    x = 5,706.30

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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.