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Finding the Fourth Proportional to 6,982.16, 9,631.59 and 6,000.44

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Solution

The fourth proportional to 6,982.16, 9,631.59 and 6,000.44 is: 8,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.16 : 9,631.59 = 6,000.44 : x
  2. Step 2: Convert to fraction form
    6,982.16/9,631.59 = 6,000.44/x
  3. Step 3: Cross multiply
    6,982.16x = 9,631.59 × 6,000.44
  4. Step 4: Simplify right side
    6,982.16x = 57,793,777.90
  5. Step 5: Solve for x
    x = 57,793,777.90/6,982.16
  6. Step 6: Final answer
    x = 8,277.35

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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.