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Finding the Fourth Proportional to 6,126.72, 9,191.62 and 1,967.10

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Solution

The fourth proportional to 6,126.72, 9,191.62 and 1,967.10 is: 2,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.72 : 9,191.62 = 1,967.10 : x
  2. Step 2: Convert to fraction form
    6,126.72/9,191.62 = 1,967.10/x
  3. Step 3: Cross multiply
    6,126.72x = 9,191.62 × 1,967.10
  4. Step 4: Simplify right side
    6,126.72x = 18,080,835.70
  5. Step 5: Solve for x
    x = 18,080,835.70/6,126.72
  6. Step 6: Final answer
    x = 2,951.14

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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.