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Finding the Fourth Proportional to 6,305.70, 9,458.55 and 5,321.55

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Solution

The fourth proportional to 6,305.70, 9,458.55 and 5,321.55 is: 7,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.70 : 9,458.55 = 5,321.55 : x
  2. Step 2: Convert to fraction form
    6,305.70/9,458.55 = 5,321.55/x
  3. Step 3: Cross multiply
    6,305.70x = 9,458.55 × 5,321.55
  4. Step 4: Simplify right side
    6,305.70x = 50,334,146.75
  5. Step 5: Solve for x
    x = 50,334,146.75/6,305.70
  6. Step 6: Final answer
    x = 7,982.33

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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.