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Finding the Fourth Proportional to 6,563.63, 9,057.81 and 4,207.14

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Solution

The fourth proportional to 6,563.63, 9,057.81 and 4,207.14 is: 5,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.63 : 9,057.81 = 4,207.14 : x
  2. Step 2: Convert to fraction form
    6,563.63/9,057.81 = 4,207.14/x
  3. Step 3: Cross multiply
    6,563.63x = 9,057.81 × 4,207.14
  4. Step 4: Simplify right side
    6,563.63x = 38,107,474.76
  5. Step 5: Solve for x
    x = 38,107,474.76/6,563.63
  6. Step 6: Final answer
    x = 5,805.85

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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.