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Finding the Fourth Proportional to 6,126.47, 9,189.80 and 1,744.04

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Solution

The fourth proportional to 6,126.47, 9,189.80 and 1,744.04 is: 2,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.47 : 9,189.80 = 1,744.04 : x
  2. Step 2: Convert to fraction form
    6,126.47/9,189.80 = 1,744.04/x
  3. Step 3: Cross multiply
    6,126.47x = 9,189.80 × 1,744.04
  4. Step 4: Simplify right side
    6,126.47x = 16,027,378.79
  5. Step 5: Solve for x
    x = 16,027,378.79/6,126.47
  6. Step 6: Final answer
    x = 2,616.09

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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.