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Finding the Fourth Proportional to 6,328.66, 9,490.96 and 2,996.46

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Solution

The fourth proportional to 6,328.66, 9,490.96 and 2,996.46 is: 4,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.66 : 9,490.96 = 2,996.46 : x
  2. Step 2: Convert to fraction form
    6,328.66/9,490.96 = 2,996.46/x
  3. Step 3: Cross multiply
    6,328.66x = 9,490.96 × 2,996.46
  4. Step 4: Simplify right side
    6,328.66x = 28,439,282.00
  5. Step 5: Solve for x
    x = 28,439,282.00/6,328.66
  6. Step 6: Final answer
    x = 4,493.73

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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.