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Finding the Fourth Proportional to 6,294.72, 9,444.66 and 3,173.04

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Solution

The fourth proportional to 6,294.72, 9,444.66 and 3,173.04 is: 4,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.72 : 9,444.66 = 3,173.04 : x
  2. Step 2: Convert to fraction form
    6,294.72/9,444.66 = 3,173.04/x
  3. Step 3: Cross multiply
    6,294.72x = 9,444.66 × 3,173.04
  4. Step 4: Simplify right side
    6,294.72x = 29,968,283.97
  5. Step 5: Solve for x
    x = 29,968,283.97/6,294.72
  6. Step 6: Final answer
    x = 4,760.86

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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.