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Finding the Fourth Proportional to 6,094.16, 9,142.00 and 2,144.49

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Solution

The fourth proportional to 6,094.16, 9,142.00 and 2,144.49 is: 3,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.16 : 9,142.00 = 2,144.49 : x
  2. Step 2: Convert to fraction form
    6,094.16/9,142.00 = 2,144.49/x
  3. Step 3: Cross multiply
    6,094.16x = 9,142.00 × 2,144.49
  4. Step 4: Simplify right side
    6,094.16x = 19,604,922.22
  5. Step 5: Solve for x
    x = 19,604,922.22/6,094.16
  6. Step 6: Final answer
    x = 3,217.00

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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.