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Finding the Fourth Proportional to 6,482.16, 9,722.77 and 2,321.39

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Solution

The fourth proportional to 6,482.16, 9,722.77 and 2,321.39 is: 3,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.16 : 9,722.77 = 2,321.39 : x
  2. Step 2: Convert to fraction form
    6,482.16/9,722.77 = 2,321.39/x
  3. Step 3: Cross multiply
    6,482.16x = 9,722.77 × 2,321.39
  4. Step 4: Simplify right side
    6,482.16x = 22,570,359.55
  5. Step 5: Solve for x
    x = 22,570,359.55/6,482.16
  6. Step 6: Final answer
    x = 3,481.92

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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.