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Finding the Fourth Proportional to 6,310.66, 9,471.85 and 3,192.87

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Solution

The fourth proportional to 6,310.66, 9,471.85 and 3,192.87 is: 4,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.66 : 9,471.85 = 3,192.87 : x
  2. Step 2: Convert to fraction form
    6,310.66/9,471.85 = 3,192.87/x
  3. Step 3: Cross multiply
    6,310.66x = 9,471.85 × 3,192.87
  4. Step 4: Simplify right side
    6,310.66x = 30,242,385.71
  5. Step 5: Solve for x
    x = 30,242,385.71/6,310.66
  6. Step 6: Final answer
    x = 4,792.27

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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.