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Finding the Fourth Proportional to 6,082.45, 9,123.54 and 1,699.81

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Solution

The fourth proportional to 6,082.45, 9,123.54 and 1,699.81 is: 2,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.45 : 9,123.54 = 1,699.81 : x
  2. Step 2: Convert to fraction form
    6,082.45/9,123.54 = 1,699.81/x
  3. Step 3: Cross multiply
    6,082.45x = 9,123.54 × 1,699.81
  4. Step 4: Simplify right side
    6,082.45x = 15,508,284.53
  5. Step 5: Solve for x
    x = 15,508,284.53/6,082.45
  6. Step 6: Final answer
    x = 2,549.68

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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.