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Finding the Fourth Proportional to 8,982.42, 12,406.86 and 6,341.64

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Solution

The fourth proportional to 8,982.42, 12,406.86 and 6,341.64 is: 8,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.42 : 12,406.86 = 6,341.64 : x
  2. Step 2: Convert to fraction form
    8,982.42/12,406.86 = 6,341.64/x
  3. Step 3: Cross multiply
    8,982.42x = 12,406.86 × 6,341.64
  4. Step 4: Simplify right side
    8,982.42x = 78,679,839.65
  5. Step 5: Solve for x
    x = 78,679,839.65/8,982.42
  6. Step 6: Final answer
    x = 8,759.31

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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.