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Finding the Fourth Proportional to 7,147.05, 9,856.48 and 4,626.52

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Solution

The fourth proportional to 7,147.05, 9,856.48 and 4,626.52 is: 6,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.05 : 9,856.48 = 4,626.52 : x
  2. Step 2: Convert to fraction form
    7,147.05/9,856.48 = 4,626.52/x
  3. Step 3: Cross multiply
    7,147.05x = 9,856.48 × 4,626.52
  4. Step 4: Simplify right side
    7,147.05x = 45,601,201.85
  5. Step 5: Solve for x
    x = 45,601,201.85/7,147.05
  6. Step 6: Final answer
    x = 6,380.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.