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Finding the Fourth Proportional to 6,914.22, 9,546.24 and 5,318.02

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Solution

The fourth proportional to 6,914.22, 9,546.24 and 5,318.02 is: 7,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.22 : 9,546.24 = 5,318.02 : x
  2. Step 2: Convert to fraction form
    6,914.22/9,546.24 = 5,318.02/x
  3. Step 3: Cross multiply
    6,914.22x = 9,546.24 × 5,318.02
  4. Step 4: Simplify right side
    6,914.22x = 50,767,095.24
  5. Step 5: Solve for x
    x = 50,767,095.24/6,914.22
  6. Step 6: Final answer
    x = 7,342.42

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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.