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Finding the Fourth Proportional to 6,563.14, 9,052.50 and 3,908.50

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Solution

The fourth proportional to 6,563.14, 9,052.50 and 3,908.50 is: 5,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.14 : 9,052.50 = 3,908.50 : x
  2. Step 2: Convert to fraction form
    6,563.14/9,052.50 = 3,908.50/x
  3. Step 3: Cross multiply
    6,563.14x = 9,052.50 × 3,908.50
  4. Step 4: Simplify right side
    6,563.14x = 35,381,696.25
  5. Step 5: Solve for x
    x = 35,381,696.25/6,563.14
  6. Step 6: Final answer
    x = 5,390.97

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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.