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Finding the Fourth Proportional to 6,170.14, 9,255.36 and 2,010.16

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Solution

The fourth proportional to 6,170.14, 9,255.36 and 2,010.16 is: 3,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.14 : 9,255.36 = 2,010.16 : x
  2. Step 2: Convert to fraction form
    6,170.14/9,255.36 = 2,010.16/x
  3. Step 3: Cross multiply
    6,170.14x = 9,255.36 × 2,010.16
  4. Step 4: Simplify right side
    6,170.14x = 18,604,754.46
  5. Step 5: Solve for x
    x = 18,604,754.46/6,170.14
  6. Step 6: Final answer
    x = 3,015.29

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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.