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Finding the Fourth Proportional to 6,980.40, 9,632.71 and 3,994.12

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Solution

The fourth proportional to 6,980.40, 9,632.71 and 3,994.12 is: 5,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.40 : 9,632.71 = 3,994.12 : x
  2. Step 2: Convert to fraction form
    6,980.40/9,632.71 = 3,994.12/x
  3. Step 3: Cross multiply
    6,980.40x = 9,632.71 × 3,994.12
  4. Step 4: Simplify right side
    6,980.40x = 38,474,224.63
  5. Step 5: Solve for x
    x = 38,474,224.63/6,980.40
  6. Step 6: Final answer
    x = 5,511.75

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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.