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Finding the Fourth Proportional to 6,302.43, 9,444.06 and 3,173.67

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Solution

The fourth proportional to 6,302.43, 9,444.06 and 3,173.67 is: 4,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.43 : 9,444.06 = 3,173.67 : x
  2. Step 2: Convert to fraction form
    6,302.43/9,444.06 = 3,173.67/x
  3. Step 3: Cross multiply
    6,302.43x = 9,444.06 × 3,173.67
  4. Step 4: Simplify right side
    6,302.43x = 29,972,329.90
  5. Step 5: Solve for x
    x = 29,972,329.90/6,302.43
  6. Step 6: Final answer
    x = 4,755.68

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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.