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Finding the Fourth Proportional to 6,252.66, 9,381.87 and 3,176.82

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Solution

The fourth proportional to 6,252.66, 9,381.87 and 3,176.82 is: 4,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,252.66 : 9,381.87 = 3,176.82 : x
  2. Step 2: Convert to fraction form
    6,252.66/9,381.87 = 3,176.82/x
  3. Step 3: Cross multiply
    6,252.66x = 9,381.87 × 3,176.82
  4. Step 4: Simplify right side
    6,252.66x = 29,804,512.25
  5. Step 5: Solve for x
    x = 29,804,512.25/6,252.66
  6. Step 6: Final answer
    x = 4,766.69

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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.