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Finding the Fourth Proportional to 6,982.00, 9,622.80 and 6,167.34

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Solution

The fourth proportional to 6,982.00, 9,622.80 and 6,167.34 is: 8,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.00 : 9,622.80 = 6,167.34 : x
  2. Step 2: Convert to fraction form
    6,982.00/9,622.80 = 6,167.34/x
  3. Step 3: Cross multiply
    6,982.00x = 9,622.80 × 6,167.34
  4. Step 4: Simplify right side
    6,982.00x = 59,347,079.35
  5. Step 5: Solve for x
    x = 59,347,079.35/6,982.00
  6. Step 6: Final answer
    x = 8,500.01

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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.