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Finding the Fourth Proportional to 6,082.44, 9,129.05 and 3,122.93

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Solution

The fourth proportional to 6,082.44, 9,129.05 and 3,122.93 is: 4,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.44 : 9,129.05 = 3,122.93 : x
  2. Step 2: Convert to fraction form
    6,082.44/9,129.05 = 3,122.93/x
  3. Step 3: Cross multiply
    6,082.44x = 9,129.05 × 3,122.93
  4. Step 4: Simplify right side
    6,082.44x = 28,509,394.93
  5. Step 5: Solve for x
    x = 28,509,394.93/6,082.44
  6. Step 6: Final answer
    x = 4,687.16

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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.