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Finding the Fourth Proportional to 6,459.07, 8,914.49 and 3,942.65

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Solution

The fourth proportional to 6,459.07, 8,914.49 and 3,942.65 is: 5,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.07 : 8,914.49 = 3,942.65 : x
  2. Step 2: Convert to fraction form
    6,459.07/8,914.49 = 3,942.65/x
  3. Step 3: Cross multiply
    6,459.07x = 8,914.49 × 3,942.65
  4. Step 4: Simplify right side
    6,459.07x = 35,146,685.31
  5. Step 5: Solve for x
    x = 35,146,685.31/6,459.07
  6. Step 6: Final answer
    x = 5,441.45

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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.