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Finding the Fourth Proportional to 6,535.48, 9,019.62 and 3,847.75

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Solution

The fourth proportional to 6,535.48, 9,019.62 and 3,847.75 is: 5,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.48 : 9,019.62 = 3,847.75 : x
  2. Step 2: Convert to fraction form
    6,535.48/9,019.62 = 3,847.75/x
  3. Step 3: Cross multiply
    6,535.48x = 9,019.62 × 3,847.75
  4. Step 4: Simplify right side
    6,535.48x = 34,705,242.86
  5. Step 5: Solve for x
    x = 34,705,242.86/6,535.48
  6. Step 6: Final answer
    x = 5,310.28

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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.