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Finding the Fourth Proportional to 6,032.46, 9,046.47 and 2,082.71

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Solution

The fourth proportional to 6,032.46, 9,046.47 and 2,082.71 is: 3,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.46 : 9,046.47 = 2,082.71 : x
  2. Step 2: Convert to fraction form
    6,032.46/9,046.47 = 2,082.71/x
  3. Step 3: Cross multiply
    6,032.46x = 9,046.47 × 2,082.71
  4. Step 4: Simplify right side
    6,032.46x = 18,841,192.24
  5. Step 5: Solve for x
    x = 18,841,192.24/6,032.46
  6. Step 6: Final answer
    x = 3,123.30

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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.