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Finding the Fourth Proportional to 9,416.92, 12,998.22 and 5,877.88

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Solution

The fourth proportional to 9,416.92, 12,998.22 and 5,877.88 is: 8,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.92 : 12,998.22 = 5,877.88 : x
  2. Step 2: Convert to fraction form
    9,416.92/12,998.22 = 5,877.88/x
  3. Step 3: Cross multiply
    9,416.92x = 12,998.22 × 5,877.88
  4. Step 4: Simplify right side
    9,416.92x = 76,401,977.37
  5. Step 5: Solve for x
    x = 76,401,977.37/9,416.92
  6. Step 6: Final answer
    x = 8,113.27

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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.