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Finding the Fourth Proportional to 9,015.75, 13,523.63 and 3,171.69

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Solution

The fourth proportional to 9,015.75, 13,523.63 and 3,171.69 is: 4,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015.75 : 13,523.63 = 3,171.69 : x
  2. Step 2: Convert to fraction form
    9,015.75/13,523.63 = 3,171.69/x
  3. Step 3: Cross multiply
    9,015.75x = 13,523.63 × 3,171.69
  4. Step 4: Simplify right side
    9,015.75x = 42,892,746.18
  5. Step 5: Solve for x
    x = 42,892,746.18/9,015.75
  6. Step 6: Final answer
    x = 4,757.54

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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.