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Finding the Fourth Proportional to 6,170.90, 9,257.50 and 2,009.78

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Solution

The fourth proportional to 6,170.90, 9,257.50 and 2,009.78 is: 3,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.90 : 9,257.50 = 2,009.78 : x
  2. Step 2: Convert to fraction form
    6,170.90/9,257.50 = 2,009.78/x
  3. Step 3: Cross multiply
    6,170.90x = 9,257.50 × 2,009.78
  4. Step 4: Simplify right side
    6,170.90x = 18,605,538.35
  5. Step 5: Solve for x
    x = 18,605,538.35/6,170.90
  6. Step 6: Final answer
    x = 3,015.04

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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.