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Finding the Fourth Proportional to 6,980.02, 9,632.45 and 3,793.30

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Solution

The fourth proportional to 6,980.02, 9,632.45 and 3,793.30 is: 5,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.02 : 9,632.45 = 3,793.30 : x
  2. Step 2: Convert to fraction form
    6,980.02/9,632.45 = 3,793.30/x
  3. Step 3: Cross multiply
    6,980.02x = 9,632.45 × 3,793.30
  4. Step 4: Simplify right side
    6,980.02x = 36,538,772.59
  5. Step 5: Solve for x
    x = 36,538,772.59/6,980.02
  6. Step 6: Final answer
    x = 5,234.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.