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Finding the Fourth Proportional to 6,847.14, 9,444.89 and 5,052.82

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Solution

The fourth proportional to 6,847.14, 9,444.89 and 5,052.82 is: 6,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.14 : 9,444.89 = 5,052.82 : x
  2. Step 2: Convert to fraction form
    6,847.14/9,444.89 = 5,052.82/x
  3. Step 3: Cross multiply
    6,847.14x = 9,444.89 × 5,052.82
  4. Step 4: Simplify right side
    6,847.14x = 47,723,329.09
  5. Step 5: Solve for x
    x = 47,723,329.09/6,847.14
  6. Step 6: Final answer
    x = 6,969.82

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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.