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Finding the Fourth Proportional to 6,571.10, 9,845.30 and 4,614.14

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Solution

The fourth proportional to 6,571.10, 9,845.30 and 4,614.14 is: 6,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.10 : 9,845.30 = 4,614.14 : x
  2. Step 2: Convert to fraction form
    6,571.10/9,845.30 = 4,614.14/x
  3. Step 3: Cross multiply
    6,571.10x = 9,845.30 × 4,614.14
  4. Step 4: Simplify right side
    6,571.10x = 45,427,592.54
  5. Step 5: Solve for x
    x = 45,427,592.54/6,571.10
  6. Step 6: Final answer
    x = 6,913.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.