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Finding the Fourth Proportional to 6,082.60, 9,123.90 and 4,527.40

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Solution

The fourth proportional to 6,082.60, 9,123.90 and 4,527.40 is: 6,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.60 : 9,123.90 = 4,527.40 : x
  2. Step 2: Convert to fraction form
    6,082.60/9,123.90 = 4,527.40/x
  3. Step 3: Cross multiply
    6,082.60x = 9,123.90 × 4,527.40
  4. Step 4: Simplify right side
    6,082.60x = 41,307,544.86
  5. Step 5: Solve for x
    x = 41,307,544.86/6,082.60
  6. Step 6: Final answer
    x = 6,791.10

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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.