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Finding the Fourth Proportional to 9,980.72, 13,776.26 and 6,997.28

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Solution

The fourth proportional to 9,980.72, 13,776.26 and 6,997.28 is: 9,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.72 : 13,776.26 = 6,997.28 : x
  2. Step 2: Convert to fraction form
    9,980.72/13,776.26 = 6,997.28/x
  3. Step 3: Cross multiply
    9,980.72x = 13,776.26 × 6,997.28
  4. Step 4: Simplify right side
    9,980.72x = 96,396,348.57
  5. Step 5: Solve for x
    x = 96,396,348.57/9,980.72
  6. Step 6: Final answer
    x = 9,658.26

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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.