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Finding the Fourth Proportional to 6,173.71, 9,261.06 and 2,013.64

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Solution

The fourth proportional to 6,173.71, 9,261.06 and 2,013.64 is: 3,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.71 : 9,261.06 = 2,013.64 : x
  2. Step 2: Convert to fraction form
    6,173.71/9,261.06 = 2,013.64/x
  3. Step 3: Cross multiply
    6,173.71x = 9,261.06 × 2,013.64
  4. Step 4: Simplify right side
    6,173.71x = 18,648,440.86
  5. Step 5: Solve for x
    x = 18,648,440.86/6,173.71
  6. Step 6: Final answer
    x = 3,020.62

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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.