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Finding the Fourth Proportional to 6,126.64, 9,189.96 and 1,744.13

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Solution

The fourth proportional to 6,126.64, 9,189.96 and 1,744.13 is: 2,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.64 : 9,189.96 = 1,744.13 : x
  2. Step 2: Convert to fraction form
    6,126.64/9,189.96 = 1,744.13/x
  3. Step 3: Cross multiply
    6,126.64x = 9,189.96 × 1,744.13
  4. Step 4: Simplify right side
    6,126.64x = 16,028,501.37
  5. Step 5: Solve for x
    x = 16,028,501.37/6,126.64
  6. Step 6: Final answer
    x = 2,616.20

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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.