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Finding the Fourth Proportional to 9,416.82, 12,994.72 and 5,439.18

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Solution

The fourth proportional to 9,416.82, 12,994.72 and 5,439.18 is: 7,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.82 : 12,994.72 = 5,439.18 : x
  2. Step 2: Convert to fraction form
    9,416.82/12,994.72 = 5,439.18/x
  3. Step 3: Cross multiply
    9,416.82x = 12,994.72 × 5,439.18
  4. Step 4: Simplify right side
    9,416.82x = 70,680,621.13
  5. Step 5: Solve for x
    x = 70,680,621.13/9,416.82
  6. Step 6: Final answer
    x = 7,505.78

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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.