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Finding the Fourth Proportional to 6,980.21, 9,632.74 and 3,793.52

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Solution

The fourth proportional to 6,980.21, 9,632.74 and 3,793.52 is: 5,235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.21 : 9,632.74 = 3,793.52 : x
  2. Step 2: Convert to fraction form
    6,980.21/9,632.74 = 3,793.52/x
  3. Step 3: Cross multiply
    6,980.21x = 9,632.74 × 3,793.52
  4. Step 4: Simplify right side
    6,980.21x = 36,541,959.37
  5. Step 5: Solve for x
    x = 36,541,959.37/6,980.21
  6. Step 6: Final answer
    x = 5,235.08

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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.