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Finding the Fourth Proportional to 6,579.84, 9,914.15 and 5,435.48

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Solution

The fourth proportional to 6,579.84, 9,914.15 and 5,435.48 is: 8,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.84 : 9,914.15 = 5,435.48 : x
  2. Step 2: Convert to fraction form
    6,579.84/9,914.15 = 5,435.48/x
  3. Step 3: Cross multiply
    6,579.84x = 9,914.15 × 5,435.48
  4. Step 4: Simplify right side
    6,579.84x = 53,888,087.29
  5. Step 5: Solve for x
    x = 53,888,087.29/6,579.84
  6. Step 6: Final answer
    x = 8,189.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.