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Finding the Fourth Proportional to 6,173.57, 9,261.41 and 2,012.40

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Solution

The fourth proportional to 6,173.57, 9,261.41 and 2,012.40 is: 3,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.57 : 9,261.41 = 2,012.40 : x
  2. Step 2: Convert to fraction form
    6,173.57/9,261.41 = 2,012.40/x
  3. Step 3: Cross multiply
    6,173.57x = 9,261.41 × 2,012.40
  4. Step 4: Simplify right side
    6,173.57x = 18,637,651.42
  5. Step 5: Solve for x
    x = 18,637,651.42/6,173.57
  6. Step 6: Final answer
    x = 3,018.94

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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.