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Finding the Fourth Proportional to 6,152.04, 9,230.77 and 3,229.64

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Solution

The fourth proportional to 6,152.04, 9,230.77 and 3,229.64 is: 4,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.04 : 9,230.77 = 3,229.64 : x
  2. Step 2: Convert to fraction form
    6,152.04/9,230.77 = 3,229.64/x
  3. Step 3: Cross multiply
    6,152.04x = 9,230.77 × 3,229.64
  4. Step 4: Simplify right side
    6,152.04x = 29,812,064.02
  5. Step 5: Solve for x
    x = 29,812,064.02/6,152.04
  6. Step 6: Final answer
    x = 4,845.88

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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.