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Finding the Fourth Proportional to 6,082.33, 9,123.53 and 1,699.82

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Solution

The fourth proportional to 6,082.33, 9,123.53 and 1,699.82 is: 2,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.33 : 9,123.53 = 1,699.82 : x
  2. Step 2: Convert to fraction form
    6,082.33/9,123.53 = 1,699.82/x
  3. Step 3: Cross multiply
    6,082.33x = 9,123.53 × 1,699.82
  4. Step 4: Simplify right side
    6,082.33x = 15,508,358.76
  5. Step 5: Solve for x
    x = 15,508,358.76/6,082.33
  6. Step 6: Final answer
    x = 2,549.74

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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.