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Finding the Fourth Proportional to 6,114.08, 9,170.96 and 1,954.02

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Solution

The fourth proportional to 6,114.08, 9,170.96 and 1,954.02 is: 2,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.08 : 9,170.96 = 1,954.02 : x
  2. Step 2: Convert to fraction form
    6,114.08/9,170.96 = 1,954.02/x
  3. Step 3: Cross multiply
    6,114.08x = 9,170.96 × 1,954.02
  4. Step 4: Simplify right side
    6,114.08x = 17,920,239.26
  5. Step 5: Solve for x
    x = 17,920,239.26/6,114.08
  6. Step 6: Final answer
    x = 2,930.98

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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.