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Finding the Fourth Proportional to 6,967.16, 9,613.98 and 3,982.94

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Solution

The fourth proportional to 6,967.16, 9,613.98 and 3,982.94 is: 5,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.16 : 9,613.98 = 3,982.94 : x
  2. Step 2: Convert to fraction form
    6,967.16/9,613.98 = 3,982.94/x
  3. Step 3: Cross multiply
    6,967.16x = 9,613.98 × 3,982.94
  4. Step 4: Simplify right side
    6,967.16x = 38,291,905.50
  5. Step 5: Solve for x
    x = 38,291,905.50/6,967.16
  6. Step 6: Final answer
    x = 5,496.06

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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.