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Finding the Fourth Proportional to 6,082.44, 9,120 and 4,128.72

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Solution

The fourth proportional to 6,082.44, 9,120 and 4,128.72 is: 6,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.44 : 9,120 = 4,128.72 : x
  2. Step 2: Convert to fraction form
    6,082.44/9,120 = 4,128.72/x
  3. Step 3: Cross multiply
    6,082.44x = 9,120 × 4,128.72
  4. Step 4: Simplify right side
    6,082.44x = 37,653,926.40
  5. Step 5: Solve for x
    x = 37,653,926.40/6,082.44
  6. Step 6: Final answer
    x = 6,190.60

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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.