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Finding the Fourth Proportional to 6,323.25, 9,484.86 and 2,163.30

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Solution

The fourth proportional to 6,323.25, 9,484.86 and 2,163.30 is: 3,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.25 : 9,484.86 = 2,163.30 : x
  2. Step 2: Convert to fraction form
    6,323.25/9,484.86 = 2,163.30/x
  3. Step 3: Cross multiply
    6,323.25x = 9,484.86 × 2,163.30
  4. Step 4: Simplify right side
    6,323.25x = 20,518,597.64
  5. Step 5: Solve for x
    x = 20,518,597.64/6,323.25
  6. Step 6: Final answer
    x = 3,244.94

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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.