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Finding the Fourth Proportional to 9,416.82, 12,991.68 and 5,830.14

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Solution

The fourth proportional to 9,416.82, 12,991.68 and 5,830.14 is: 8,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.82 : 12,991.68 = 5,830.14 : x
  2. Step 2: Convert to fraction form
    9,416.82/12,991.68 = 5,830.14/x
  3. Step 3: Cross multiply
    9,416.82x = 12,991.68 × 5,830.14
  4. Step 4: Simplify right side
    9,416.82x = 75,743,313.24
  5. Step 5: Solve for x
    x = 75,743,313.24/9,416.82
  6. Step 6: Final answer
    x = 8,043.41

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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.