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Finding the Fourth Proportional to 9,778.72, 13,471.82 and 7,999.96

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Solution

The fourth proportional to 9,778.72, 13,471.82 and 7,999.96 is: 11,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.72 : 13,471.82 = 7,999.96 : x
  2. Step 2: Convert to fraction form
    9,778.72/13,471.82 = 7,999.96/x
  3. Step 3: Cross multiply
    9,778.72x = 13,471.82 × 7,999.96
  4. Step 4: Simplify right side
    9,778.72x = 107,774,021.13
  5. Step 5: Solve for x
    x = 107,774,021.13/9,778.72
  6. Step 6: Final answer
    x = 11,021.28

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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.