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Finding the Fourth Proportional to 6,126.84, 9,190.80 and 1,967.22

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Solution

The fourth proportional to 6,126.84, 9,190.80 and 1,967.22 is: 2,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.84 : 9,190.80 = 1,967.22 : x
  2. Step 2: Convert to fraction form
    6,126.84/9,190.80 = 1,967.22/x
  3. Step 3: Cross multiply
    6,126.84x = 9,190.80 × 1,967.22
  4. Step 4: Simplify right side
    6,126.84x = 18,080,325.58
  5. Step 5: Solve for x
    x = 18,080,325.58/6,126.84
  6. Step 6: Final answer
    x = 2,951.00

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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.