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Finding the Fourth Proportional to 6,152.63, 9,231.65 and 3,230.25

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Solution

The fourth proportional to 6,152.63, 9,231.65 and 3,230.25 is: 4,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.63 : 9,231.65 = 3,230.25 : x
  2. Step 2: Convert to fraction form
    6,152.63/9,231.65 = 3,230.25/x
  3. Step 3: Cross multiply
    6,152.63x = 9,231.65 × 3,230.25
  4. Step 4: Simplify right side
    6,152.63x = 29,820,537.41
  5. Step 5: Solve for x
    x = 29,820,537.41/6,152.63
  6. Step 6: Final answer
    x = 4,846.80

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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.