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Finding the Fourth Proportional to 6,982.35, 9,633.51 and 4,591.64

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Solution

The fourth proportional to 6,982.35, 9,633.51 and 4,591.64 is: 6,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.35 : 9,633.51 = 4,591.64 : x
  2. Step 2: Convert to fraction form
    6,982.35/9,633.51 = 4,591.64/x
  3. Step 3: Cross multiply
    6,982.35x = 9,633.51 × 4,591.64
  4. Step 4: Simplify right side
    6,982.35x = 44,233,561.69
  5. Step 5: Solve for x
    x = 44,233,561.69/6,982.35
  6. Step 6: Final answer
    x = 6,335.05

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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.