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Finding the Fourth Proportional to 6,126.70, 9,191.40 and 1,966.90

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Solution

The fourth proportional to 6,126.70, 9,191.40 and 1,966.90 is: 2,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.70 : 9,191.40 = 1,966.90 : x
  2. Step 2: Convert to fraction form
    6,126.70/9,191.40 = 1,966.90/x
  3. Step 3: Cross multiply
    6,126.70x = 9,191.40 × 1,966.90
  4. Step 4: Simplify right side
    6,126.70x = 18,078,564.66
  5. Step 5: Solve for x
    x = 18,078,564.66/6,126.70
  6. Step 6: Final answer
    x = 2,950.78

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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.