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Finding the Fourth Proportional to 6,170.94, 9,257.76 and 2,011.32

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Solution

The fourth proportional to 6,170.94, 9,257.76 and 2,011.32 is: 3,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.94 : 9,257.76 = 2,011.32 : x
  2. Step 2: Convert to fraction form
    6,170.94/9,257.76 = 2,011.32/x
  3. Step 3: Cross multiply
    6,170.94x = 9,257.76 × 2,011.32
  4. Step 4: Simplify right side
    6,170.94x = 18,620,317.84
  5. Step 5: Solve for x
    x = 18,620,317.84/6,170.94
  6. Step 6: Final answer
    x = 3,017.42

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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.