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Finding the Fourth Proportional to 9,420.96, 12,997.62 and 5,882.88

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Solution

The fourth proportional to 9,420.96, 12,997.62 and 5,882.88 is: 8,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.96 : 12,997.62 = 5,882.88 : x
  2. Step 2: Convert to fraction form
    9,420.96/12,997.62 = 5,882.88/x
  3. Step 3: Cross multiply
    9,420.96x = 12,997.62 × 5,882.88
  4. Step 4: Simplify right side
    9,420.96x = 76,463,438.75
  5. Step 5: Solve for x
    x = 76,463,438.75/9,420.96
  6. Step 6: Final answer
    x = 8,116.31

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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.