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Finding the Fourth Proportional to 6,111.40, 9,167.10 and 5,090.80

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Solution

The fourth proportional to 6,111.40, 9,167.10 and 5,090.80 is: 7,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.40 : 9,167.10 = 5,090.80 : x
  2. Step 2: Convert to fraction form
    6,111.40/9,167.10 = 5,090.80/x
  3. Step 3: Cross multiply
    6,111.40x = 9,167.10 × 5,090.80
  4. Step 4: Simplify right side
    6,111.40x = 46,667,872.68
  5. Step 5: Solve for x
    x = 46,667,872.68/6,111.40
  6. Step 6: Final answer
    x = 7,636.20

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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.