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Finding the Fourth Proportional to 6,131.66, 9,194.72 and 1,748.07

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Solution

The fourth proportional to 6,131.66, 9,194.72 and 1,748.07 is: 2,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.66 : 9,194.72 = 1,748.07 : x
  2. Step 2: Convert to fraction form
    6,131.66/9,194.72 = 1,748.07/x
  3. Step 3: Cross multiply
    6,131.66x = 9,194.72 × 1,748.07
  4. Step 4: Simplify right side
    6,131.66x = 16,073,018.56
  5. Step 5: Solve for x
    x = 16,073,018.56/6,131.66
  6. Step 6: Final answer
    x = 2,621.32

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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.