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Finding the Fourth Proportional to 6,082.05, 9,123.04 and 4,697.40

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Solution

The fourth proportional to 6,082.05, 9,123.04 and 4,697.40 is: 7,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.05 : 9,123.04 = 4,697.40 : x
  2. Step 2: Convert to fraction form
    6,082.05/9,123.04 = 4,697.40/x
  3. Step 3: Cross multiply
    6,082.05x = 9,123.04 × 4,697.40
  4. Step 4: Simplify right side
    6,082.05x = 42,854,568.10
  5. Step 5: Solve for x
    x = 42,854,568.10/6,082.05
  6. Step 6: Final answer
    x = 7,046.07

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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.