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Finding the Fourth Proportional to 6,131.84, 9,196.16 and 1,749.12

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Solution

The fourth proportional to 6,131.84, 9,196.16 and 1,749.12 is: 2,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.84 : 9,196.16 = 1,749.12 : x
  2. Step 2: Convert to fraction form
    6,131.84/9,196.16 = 1,749.12/x
  3. Step 3: Cross multiply
    6,131.84x = 9,196.16 × 1,749.12
  4. Step 4: Simplify right side
    6,131.84x = 16,085,187.38
  5. Step 5: Solve for x
    x = 16,085,187.38/6,131.84
  6. Step 6: Final answer
    x = 2,623.22

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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.